Question

Solve the system using substitution.

y=-x+6
3x+2y=17
Write the substituted equation:
x=
y=

Answer 1

To solve the system using substitution, substitute one equation into the other to eliminate one variable. The substituted equation is x = -5 and y = 11.

Step-by-step explanation:

To solve the system using substitution, we need to substitute one equation into the other to eliminate one variable. Given the system of equations:

y = -x + 6

x + 2y = 17

Let's solve the first equation for x:

x = -y + 6

Substitute this value of x into the second equation:

-y + 6 + 2y = 17

Simplify the equation:

y + 6 = 17

Subtract 6 from both sides:

y = 17 - 6

y = 11

Now substitute this value of y back into the first equation to find x:

x = -11 + 6

x = -5

Therefore, the substituted equation is x = -5 and y = 11.