Solving a System of Linear Equations In Exercises $19 - 24$ , solve the system of linear equations and check any solutions algebraically. $$ \left\{ \begin{array} { c } { \frac { 1 } { 5 } x + \frac { 1 } { 2 } y = - 13 } \\ { x + y = - 35 } \end{array} \right. $$
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Step 1
To do this, we need to get rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators, which is 10. This gives us: $$2x + 5y = -130$$ Show more…
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Solving a System of Linear Equations In Exercises $19 - 24$ , solve the system of linear equations and check any solutions algebraically. $$\left\{ \begin{aligned} - 2 x + 3 y & = 10 \\ x + y & = 0 \end{aligned} \right.$$
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