Answer:
See explanation
Step-by-step explanation:
Operations Equations Labels
____________________________________________________
[tex]\left\{\begin{array}{l}5x-2y=17\\ \\3x+7y=43\end{array}\right.[/tex] [tex]\begin{array}{l}\text{Equation 1}\\ \\\text{Equation 2}\end{array}[/tex]
____________________________________________________
Multiply Equation 1 by -3 [tex]-15x+6y=-51[/tex] New Eq. 1
____________________________________________________
Multiply Equation 2 by 5 [tex]15x+35y=215[/tex] New Eq. 2
____________________________________________________
Add Equations 1 and 2 [tex](-15x+6y)+(15x+35y)=-51+215\\ \\41y=164[/tex] New Eq. 1
____________________________________________________
Divide by 41 [tex]y=4[/tex] y solution
____________________________________________________
Substitute y=4 into Equation 2 [tex]3x+7\cdot 4=43\\ \\3x+28=43[/tex] New Equation 2
____________________________________________________
Solve for x [tex]3x=43-28\\ \\3x=15\\ \\x=5[/tex] x solution
____________________________________________________
Write x and y as coordinates (5,4) Solution to the system
____________________________________________________
