Equation By Substitution/Elimination Method:
y = -3x + 4; y = 4x - 10
Let's solve your system by substitution.
y = −3x + 4; y = 4x − 10
Step: Solve y = −3x + 4 for y:
y = −3x + 4
Step: Substitute −3x + 4 for y in y = 4x − 10:
y = 4x − 10
−3x + 4 = 4x − 10
−3x + 4 + −4x =4x − 10 + −4x (Add -4x to both sides):
−7x + 4 = −10
−7x + 4 + −4 = − 10 + −4 (Add -4 to both sides):
-7x = -14
-7x/ -7 = -14/ -7 ( Divide both sides by -7):
x = 2
Step 2: Substitute 2 for x in y = −3x + 4:
y = −3x + 4
y = (−3)(2) + 4
y = −2 (Simplify both sides of the equation)
Answer:
x = 2 and y = −2
Hope that helps!!!!