Respuesta :
Answer:
[tex](x,y)=(4,-7)[/tex]
Step-by-step explanation:
[tex]y= -3x+5\\y=-8x+25[/tex]
Since both expressions [tex]-3x+5[/tex] and [tex]-8x+25[/tex] are equal to [tex]y[/tex] , set them equal to each other forming an equation in x.
[tex]-3x+5=-8x+25[/tex]
Move variable to the left-hand side and change its sign
[tex]-3x+8x+5=25[/tex]
Move constant to the right-hand side and change its sign
[tex]-3x+8x=25-5[/tex]
Collect like terms
[tex]5x=25-5[/tex]
Subtract the numbers
[tex]5x=20[/tex]
Divide both sides of the equation by [tex]5[/tex]
[tex]x=4[/tex]
Substitute the given value of [tex]x[/tex] into the equation [tex]y=-3 x4+5[/tex]
[tex]y=-3x4+5[/tex]
Multiply the numbers
[tex]y=-12+5[/tex]
Calculate the sum
[tex]y=-7[/tex]
The possible solution of the system is the ordered pair [tex](x,y)[/tex]
[tex](x,y) =(4,-7)[/tex]
Check if the given ordered pair is the solution of the system of equations
[tex]-7=-3 x 4+5\\-7=-8 x4+25\\[/tex]
Simplify the equalities
[tex]-7=-7\\-7=-8 x 4 +25[/tex]
Simplify the equality
[tex]-7=-7\\-7=-7[/tex]
Since all of the equalities are true, the ordered pair is the solution of the system
[tex](x,y)=(4,-7)[/tex]
PLEASE MARK ME AS BRAINLIEST
