Answer link. See a solution process below: Step 1) Solve the first equation for y: 2x + y = 3 2x - color (red) (2x) + y = 3 - color (red) (2x) 0 + y = 3 - 2x y = 3 - 2x Step 2) Substitute (3 - 2x) for y in the second equation and solve for x: x - 3y = 5 becomes: x - 3 (3 - 2x) = 5 x - (3 * 3) + (3 * 2x) = 5 x - 9 + 6x = 5 1x + 6x - 9 = 5 (1 + 6
y = -1/2x + 6 Given Information y - 2x = 3 need to find a perpendicular line to this line that passes through the point (2, 5) For starters, solve for y in the first equation. y - 2x = 3 y = 2x + 3 Now that we have the equation that is easy to read, to make a line perpendicular, the slope is ALWAYS the reciprocal. So the slope in this equation is 2x. The reciprocal, which is the absolute
Explanation: Then substitute the value of x into one of the original equations to find the solution for y: Double check your solution by substituting values of x = − 2 and y = 3 into any of the original equations and see whether you get the numerical solution ( −5 or 5 ). x=-2 y=3 4x+y=-5 2x+3y=5 Rearrange the first equation for y: 4x+y=-5
The inverse of a function can be found algebraically by switching the x and y values y = 5/(2x + 3) x = 5/(2y + 3) x(2y + 3) = 5 2y + 3 = 5/x 2y = (5 - 3x)/x y = (5 - 3x)/(2x) h^-1(x) = (5 - 3x)/(2x) Here are a few things to remember when finding the inverse of a function: The y must be isolated (all alone on one side of the equation). Don't forget the h^-1(x) notation. I have been docked
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Popular Problems Algebra Graph y=5/2x-3 y = 5 2 x − 3 y = 5 2 x - 3 Rewrite in slope-intercept form. Tap for more steps y = 5 2x− 3 y = 5 2 x - 3 Use the slope-intercept form to find the slope and y-intercept. Tap for more steps Slope: 5 2 5 2 y-intercept: (0,−3) ( 0, - 3) Any line can be graphed using two points.
to find the zeros, we need to find the values of x which would cause y to become zero, i.e solve x for : 5(2x-1)(x+3) = 0 (divide both sides by 5) (2x-1)(x+3) = 0 . hence either. 2x-1 = 0 (add 1 to both sides) 2x = 1 (divide both sides by 2) x = 1/2 --> first zero. or . x+3 = 0 (subtract 3 from both sides) x = -3 ----> 2nd zero
en el par (2;3) → 2 representa a "x" y 3 representa a las "y" en la ecuaciòn. 2x+3y=5. 3y=5-2x. y=(5-2x)/3. para saber si el par (2;3) es solución tiene que cumplir la ecuación anterior. reemplazando el primer punto. 3=(5-2(2))/3. 3=(5-4)/3. 3=1/3 esto no es lógico porque no cumple la igualdad. por lo tanto el par (2;3) no es solución de
{4 x − y = 0 2 x − 3 y = 5 {4 x − y = 0 2 x − 3 y = 5 In Example 5.19 , it will take a little more work to solve one equation for x or y . Example 5.19
Algebra. Graph y=2x+4. y = 2x + 4 y = 2 x + 4. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps Slope: 2 2. y-intercept: (0,4) ( 0, 4) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10 . heart outlined. Thanks
The solution (s) to a quadratic equation can be calculated using the Quadratic Formula: The "±" means we need to do a plus AND a minus, so there are normally TWO solutions ! The blue part ( b2 - 4ac) is called the "discriminant", because it can "discriminate" between the possible types of answer: when it is negative we get complex solutions.
To graph the direct variation #y=5/2x#, determine two points on the line. If #x=0, y=(5/2*0)=0# Point = #(0,0)# If #x=2, y=(5/cancel 2*cancel 2/1)=5# Point = #(2,5)# Plot the two points and draw a straight line through the points. graph{y=5/2x [-7.605, 12.395, -3.345, 6.655]}r
Find the equation of the line that is parallel to $ 2x + y - 2 = 0 $ and passes though the point $( 3, 1 )$. example 2: ex 2: Find the equation of the line that is perpendicular to $ y = 2x - 5 $ and passes though the point $\left( -\frac{2}{3}, -\frac{1}{4} \right)$.
Rewrite in slope-intercept form. Tap for more steps y = 3 2x+ 5 y = 3 2 x + 5. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps Slope: 3 2 3 2. y-intercept: (0,5) ( 0, 5) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
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