Question

solve the system of equations.
-5x + 2y = 9

y = 7x

x =

y =

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Explanation:

Step1: Substitute \( y = 7x \) into the first equation

We have the first equation \( -5x + 2y = 9 \). Substitute \( y = 7x \) into it, we get \( -5x + 2(7x) = 9 \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side of the equation: \( -5x+14x = 9 \), which is \( 9x = 9 \). Divide both sides by 9, we have \( x=\frac{9}{9}=1 \).

Step3: Solve for \( y \) using \( y = 7x \)

Substitute \( x = 1 \) into \( y = 7x \), then \( y=7\times1 = 7 \).

Answer:

\( x = 1 \), \( y = 7 \)