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3 years ago

Solve the system of equations by substitution. What is the solution for x?

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

Answer:

There is no x value, as there is no solution

Step-by-step explanation:

we have

2x+y=1

Isolate the variable y

y=-2x+1 -----> equation A

4x+2y=-1 ---> equation B

Solve the system of equations by substitution

Substitute the equation A in the equation B and solve for x

4x+2(-2x+1)=-1

4x-4x+2=-1

2=-1 ------> is not true

therefore

The system has no solution

Equation A and equation B are parallel lines with different y-intercepts

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3 years ago

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<h2><u>Answer:</u></h2><h2><u></u> $\boxed{x=20}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>

$\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

<em> - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

<u /> $-17+\frac{1}{2}x+31=24$ <u />

<em />

$-17+31=14$

<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>