jayjay914
Answered

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Complete the solution of the equation. Find the value of [tex]$y$[/tex] when [tex]$x$[/tex] equals 20.

[tex] -2x + 4y = -4 [/tex]

Enter the correct answer: _______

Sagot :

GinnyAnswer
To solve the equation [tex]\(-2x + 4y = -4\)[/tex] for [tex]\(y\)[/tex] when [tex]\(x = 20\)[/tex], we will follow these steps:

1. Substitute [tex]\(x = 20\)[/tex] into the equation:
[tex]\[ -2(20) + 4y = -4 \][/tex]

2. Simplify the left side:
[tex]\[ -40 + 4y = -4 \][/tex]

3. Rearrange the equation to isolate the term with [tex]\(y\)[/tex]:
[tex]\[ 4y = -4 + 40 \][/tex]

4. Simplify the right side:
[tex]\[ 4y = 36 \][/tex]

5. Divide both sides by 4 to solve for [tex]\(y\)[/tex]:
[tex]\[ y = \frac{36}{4} \][/tex]

6. Simplify the division:
[tex]\[ y = 9 \][/tex]

So, the value of [tex]\(y\)[/tex] when [tex]\(x\)[/tex] equals 20 is [tex]\(\boxed{9}\)[/tex].
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