Question

Solve the system and choose the correct graph. You will select TWO answers on this
question.
y = 2x + 5
y=-3x - 5

Answer 1

Equate both

• 2x+5=-3x-5
• 5x=-10
• x=-10/5
• x=-2

Put in first one

• y=2(-2)+5
• y=-4+5
• y=1

Graph attached

Answer 2

Answer:

x = -2,  y = 1

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=2x+5\\y=-3x-5 \end{cases}$

Solve by Substitution

Substitute the first equation into the second equation and solve for x:

$\implies 2x+5=-3x-5$

Add 3x to both sides:

$\implies 2x+5+3x=-3x-5+3x$

$\implies 5x+5=-5$

Subtract 5 from both sides:

$\implies 5x+5-5=-5-5$

$\implies 5x=-10$

Divide both sides by 5:

$\implies \dfrac{5x}{5}=\dfrac{-10}{5}$

$\implies x=-2$

Substitute the found value of x into one of the equations and solve for y:

$\implies y=2(-2)+5$

$\implies y=-4+5$

$\implies y=1$

Therefore, the solution to the given system of equations is (-2, 1).

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