1 Answer

Darleen · Answer 1 · 2023-02-05T03:29:26+0000

We are given the following system of equations

$\begin{gathered} 5x+2y=29 \\ 5x-2y=41 \end{gathered}$

Let us solve the system of equations.

Add the two equations.

$\begin{gathered} 10x=70 \\ x=(70)/(10) \\ x=7 \end{gathered}$

Now substitute this value of x into any of the two equations to get the value of y

$\begin{gathered} 5(7)+2y=29 \\ 35+2y=29 \\ 2y=29-35 \\ 2y=-6 \\ y=(-6)/(2) \\ y=-3 \end{gathered}$

Therefore, the solution of the system of equations is (7, -3)

x = 7

y = -3

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