To solve the system using substitution, we will substitute the expression for y from the second equation into the first equation.
Substitute y = 2x - 7 into the first equation -5x + 4y = -13:
-5x + 4(2x - 7) = -13
Simplify:
-5x + 8x - 28 = -13
Combine like terms:
3x - 28 = -13
Add 28 to both sides of the equation:
3x - 28 + 28 = -13 + 28
Simplify:
3x = 15
Divide both sides of the equation by 3:
3x/3 = 15/3
Simplify:
x = 5
Now substitute the value of x into the equation y = 2x - 7:
y = 2(5) - 7
Simplify:
y = 10 - 7
y = 3
Therefore, the solution to the system of equations is x = 5 and y = 3.
Use substitution to solve the system.
-5x+4y=-13
y=2x-7
1 answer
1 answer