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vaieri [72.5K]
2 years ago
8

Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1

Mathematics
2 answers:
lapo4ka [179]2 years ago
8 0
Solve your system of equations.

2x+y=1;4x+2y=−1

Solve 2x+y=1 for y:

2x+y+−2x=1+−2x(Add -2x to both sides)

y=−2x+1

Substitute (−2x+1) for y in 4x+2y=−1:

4x+2y=−1

4x+2(−2x+1)=−1

2=−1(Simplify both sides of the equation)

2+−2=−1+−2(Add -2 to both sides)

0=−3

Answer: No solution. C)

nordsb [41]2 years ago
7 0
2x+y=1 \ \ \ \ \ \ \ \ |\times (-2) \\
4x+2y=-1 \\ \\
-4x-2y=-2 \\
\underline{4x+2y=-1 \ \ \ } \\
0=-3 \\
false \\ \\
\hbox{no solution}

The answer is C.
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