Answer:
[tex]x=5 \\y=3[/tex]
Step-by-step explanation:
[tex]-2x+3y=-1\\2x+5y=25[/tex]
Add these equations to eliminate x:
[tex]8y=24[/tex]
Then, solve [tex]8y=24[/tex] for y:
[tex]8y=24[/tex]
[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)
[tex]y=3[/tex]
Now let's find the value of x:
Substitute 3 for y in [tex]-2x+3y=-1[/tex]
[tex]-2x+(3)(3)=-1[/tex]
[tex]-2x+9=-1[/tex] (simplify both sides of the equation)
[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)
[tex]-2x=-10[/tex]
[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex] (divide both sides by -2)
[tex]x=5[/tex]
Therefore, the value of x = 5 and y = 3
