Answered

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Solve the system of equations:

[tex]\[
\begin{array}{l}
y = -5x + 30 \\
x = 10
\end{array}
\][/tex]

What is the solution to the system of equations?

A. [tex]$(-20, 10)$[/tex]
B. [tex]$(10, -20)$[/tex]
C. [tex]$(10, 4)$[/tex]
D. [tex]$(4, 10)$[/tex]

Sagot :

GinnyAnswer
To solve the system of equations, follow these steps:

1. Identify the given equations:
[tex]\[ y = -5x + 30 \][/tex]
[tex]\[ x = 10 \][/tex]

2. Substitute the value of [tex]\( x \)[/tex] from the second equation into the first equation:
[tex]\[ x = 10 \][/tex]

3. Plug [tex]\( x = 10 \)[/tex] into the first equation [tex]\( y = -5x + 30 \)[/tex]:
[tex]\[ y = -5(10) + 30 \][/tex]

4. Evaluate the expression:
[tex]\[ y = -50 + 30 \][/tex]
[tex]\[ y = -20 \][/tex]

Therefore, the solution to the system of equations is [tex]\( (x, y) = (10, -20) \)[/tex].

So, the correct answer is:
[tex]\[ (10, -20) \][/tex]
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