Use the system of equations to answer the questions.
2 answers:
Answer: x=7 or y=-8
Replace y with -2x+6 in the first equation
5x+4(-2x+6)=3
Then solve for x
First, distribute 4
5x-8x+24=3
Combine like terms
-3x+24=3
Subtract 24 from both sides
-3x=-21
Isolate x by dividing -3 to both sides
x=7
Replace x with 7 in either equation and then solve
y=-2(7)+6
Multiply -2 by 7
-14+6
Add
y=-8
The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
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