Answered

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Solve by elimination:

Solve By Elimination class=

Sagot :

2185030

Answer: [tex](4, 3)[/tex]

Step-by-step explanation:

1) Multiply the first equation by 3,and multiply the second equation by -5: [tex]3(2x-5y=-7)[/tex], [tex]-5(5x-3y=11)[/tex]

2) Simplify: [tex]6x-15y=-21[/tex], [tex]-25x+15y=-55[/tex]

3) Add the equations to eliminate [tex]y[/tex]: [tex]-19x=-76[/tex]

4) Divide both sides by [tex]-19[/tex]: [tex]\frac{-19x}{19} =\frac{-76}{-19}[/tex]

5) Simplify: [tex]x=4[/tex]

6) Substitute 4 for x in [tex]2x-5y=-7[/tex]: [tex](2)(4)-5y=-7[/tex]

7) Simplify: [tex]-5y+8=-7[/tex]

8) Subtract [tex]8[/tex] on both sides of the equation: [tex]-5y+8-8=-7-8[/tex]

9) Divide both sides by [tex]-5[/tex]: [tex]\frac{-5y}{-5} =\frac{-15}{-5}[/tex]

10) Simplify: [tex]y=3[/tex]

11) Write point: [tex](4, 3)[/tex]

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