Please, solve the system of equations: {(2x,-,3y,=,8),(4x,+,3y,=,16):}

Anish Buchanan 2021-09-05 Answered
Please, solve the system of equations:
\(\displaystyle{\left\lbrace\begin{array}{ccccc} {2}{x}&-&{3}{y}&=&{8}\\{4}{x}&+&{3}{y}&=&{16}\end{array}\right.}\)

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Expert Answer

Ezra Herbert
Answered 2021-09-06 Author has 17619 answers

\(\displaystyle{\left\lbrace\begin{array}{ccccc} {2}{x}&-&{3}{y}&=&{8}\\{4}{x}&+&{3}{y}&=&{16}\end{array}\right.}\)
Add equation (1) and equation (2)
\(6x = 24\)
\(x = 4\)
Substitute x = 4 into the equation (1) and solve for y.
\(2 * 4 – 3y = 8\)
\(8 – 3y = 8\)
\(-3y = 0\)
\(y = 0\)
Therefore, the answer is \((4. 0)\).

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