Question

Solve the system using substitution y=2x+10 y=x+8

Answer 1

To solve the given system of equations using substitution, we set the two expressions for y equal to each other, solve for x, which is -2, and then substitute the value of x back into one of the original equations to find y, which is 6.

Step-by-step explanation:

To solve the system of equations using substitution, we will substitute one equation into the other. We have the system:

• y = 2x + 10
• y = x + 8

Since both equations equal y, we can set them equal to each other:

2x + 10 = x + 8

Now, we can solve for x:

1. Subtract x from both sides: 2x - x + 10 = 8
2. Simplify: x + 10 = 8
3. Subtract 10 from both sides: x = -2

Now, substitute x back into one of the original equations to find y:

y = 2(-2) + 10 = -4 + 10 = 6

So the solution to the system of equations is x = -2 and y = 6.