To solve this system of equations, we can use the substitution method.
1. First, solve one of the equations for one of the variables. Let's solve the first equation for x:
x = 4y + 8
2. Now, substitute this expression for x into the second equation:
3(4y + 8) + 10 = -2y
3. Simplify the equation:
12y + 24 + 10 = -2y
12y + 34 = -2y
4. Add 2y to both sides:
12y + 2y + 34 = 0
14y + 34 = 0
5. Subtract 34 from both sides:
14y = -34
6. Divide by 14 to solve for y:
y = -34/14
y = -17/7
7. Now, substitute the value of y back into the equation x = 4y + 8:
x = 4(-17/7) + 8
x = -68/7 + 8
x = -68/7 + 56/7
x = -12/7
Therefore, the solution to the system of equations is x = -12/7 and y = -17/7.
x−4y=8
and 3x+10=−2y
solve the solution
1 answer