Question

Solve the system of equations by graphing. Check the solution. y=-2x-3. y=2x+5. Graph each equation on the same coordinate plane. At what point do the graphs of the lines appear to intersect?​

Answer 1

Answer:

$\displaystyle [-2, 1]$

Step-by-step explanation:

Use the Elimination method sinse both coefficients in the system are OPPOCITES:

$\displaystyle \left \{{{y = -2x - 3} \atop {y = 2x + 5}} \right.$

2y = 2; 1 = y [Plug this y-coordinate back into the system to get the x-coordinate of −2 (−2 = x).]

I am joyous to assist you at any time.

Answer 2

Answer:

$\left \{ {{x=-2} \atop {y=1}} \right.$

Step-by-step explanation:

$\left \{ {{y=-2x-3} \atop {y=2x+5}} \right.$

Substitute into one of the equations
$-2x-3=2x+5$

Rearrange variables to the left side of the equation
$-2x-2x=5+3$

Combine like terms
$-4x=5+3$

Calculate the sum or difference
$-4x=8$

Divide both sides of the equation by the coefficient of variable
$x=-\frac{8}{4}$

Cross out the common factor
$x=-2$

Substitute into one of the equations
$y=-2\times\left(-2\right)-3$

Calculate
$y=1$

The solution of the system is
$\left \{ {{x=-2} \atop {y=1}} \right.$

I hope this helps you! Don't forget to check the picture I uploaded as well

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