Respuesta :

irspow
y=-x+5

5x+2y=14, using y from above in this equation gives you:

5x+2(-x+5)=14  perform indicated multiplication

5x-2x+10=14   combine like terms on left side

3x+10=14 subtract 10 from both sides

3x=4  divide both sides by 3

x=4/3, making y=-x+5 become:

y=-4/3+5

y=-4/3+15/3

y=11/3

So the solution to the system of equations is the point:

(4/3, 11/3)
zrh2sfo
I will solve your system by substitution.y=−x+5; 5x+2y=14Step: Solve y=−x+5 for y:Step: Substitute−x+5for y in5x+2y=14:5x+2y=145x+2(−x+5)=143x+10=14 (Simplify both sides of the equation)3x+10+−10=14+−10 (Add -10 to both sides)3x=43x/3=4/3 (Divide both sides by 3)x=4/3Step: Substitute 4/3 for x in y=−x+5:y=−x+5y=−4/3+5y=11/3  (Simplify both sides of the equation)Answer:x=4/3 and y=11/3

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