Answer :
Answer:
A.) [tex]x=4,y=11[/tex]
Step-by-step explanation:
Given Equations:
[tex]y = -2x + 19[/tex] Equation:1
[tex]y = x + 7[/tex] Equation:2
Solving Equation:2 for 'x'
[tex]x=y-7[/tex] Equation:3
Using Substitution method, Putting 'x' in Equation:1
[tex]y = -2(y-7) + 19\\y=-2y+14+19\\y=-2y+33\\y+2y=33\\3y=33\\\\y=\frac{33}{3}\\\\ y=11[/tex]
Putting value of 'y' in Equation:3
[tex]x=y-7[/tex]
[tex]x=11-7[/tex]
[tex]x=4[/tex]
[tex]x=4,y=11[/tex]