Question

Y=2x + 5 y=-3x-10 solve by elimination

Answer 1

x = -3

y = -1

Step-by-step explanation:

The system of equation is:

y = 2x + 5

y = -3x - 10

To solve by elimination, we need to multiply the second equation by -1, so:

`\begin{gathered} y\cdot(-1)=(-3x-10)(-1) \\ -y=-3x(-1)-10(-1) \\ -y=3x+10 \end{gathered}`

Now, we can add this equation with the first equation of the system as follows:

y = 2x + 5

-y = 3x + 10

0 = 5x + 15

Solving for x, we get:

0 = 5x + 15

0 - 15 = 5x + 15 - 15

-15 = 5x

-15/5 = 5x/5

-3 = x

Finally, with the value of x, we can calculate y:

y = 2x + 5

y = 2(-3) + 5

y = -6 + 5

y = -1

So, the solution of the system is x = -3 and y = -1.