Question

Which system of equations is not a linear system?a) 2x + y = 11x = 13 + yb) 2x = 11 - y4x - y = 13c) -1/2 x - y = 3/43/2 x + 2 = -7/8d) -x² + y = 10x + y = 5

Systems of equations
ANSWERED
asked 2021-06-12

Which system of equations is not a linear system?
a) \(2x + y = 11\)
\(x = 13 + y\)
b) \(2x = 11 - y\)
\(4x - y = 13\)
c) \(\displaystyle-\frac{{1}}{{2}}{x}-{y}=\frac{{3}}{{4}}\)
\(\displaystyle\frac{{3}}{{2}}{x}+{2}=-\frac{{7}}{{8}}\)
d) \(\displaystyle-{x}²+{y}={10}\)
\(x + y = 5\)

Expert Answers (1)

2021-06-13

A system of linear equations has equations that can be written in the form \(Ax+By=C\). Since choice d has an equation where x is squared, then it is not a system of linear equation.
So, the correct answer is choice d.

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