To solve the system using substitution, we can substitute the expression for y from the first equation into the second equation.
From the first equation, we have y = -2x + 6.
Substituting this into the second equation:
2(-2x + 6) - x + 3 = 0
Simplifying the equation:
-4x + 12 - x + 3 = 0
-5x + 15 = 0
-5x = -15
x = -15 / -5
x = 3
Substituting this value of x back into the first equation:
y = -2(3) + 6
y = -6 + 6
y = 0
Therefore, the solution to the system is (3, 0).
Checking the answer:
Substituting these values into both equations:
y = -2(3) + 6
0 = -6 + 6
0 = 0
2(0) - 3 + 3 = 0
0 - 3 + 3 = 0
0 = 0
Both equations are true, so the solution is correct.
Solve the system using substitution. Check your answer.
y=-2x+6
2y-x+3=0
The solution is
enter your response here.
(Simplify your answer. Type integers or simplified fractions. Type an ordered pair.)
1 answer
1 answer