# Chapter 6 - Systems of Equations and Inequalities - Chapter Review - Page 409: 17

The solution is (-$\frac{11}{17}$,-$\frac{188}{17}$)

#### Work Step by Step

You have -2x+5y=-54 and y=-3x-13.Solve for X and Y: Substitute the second equation into the first: -2x+5(-3x-13)=-54 -distribute- -2x-15x-65=-54 -simplify like terms- -17x-65=-54 -add 65 to both sides- -17x=11 -divide both sides by -17- x=-$\frac{11}{17}$ Plug in x=-$\frac{11}{17}$ into one of the equations: y=-3($-\frac{11}{17}$)-13 y=-$\frac{188}{17}$ The solution is (-$\frac{11}{17}$,-$\frac{188}{17}$)

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