Answer:
[tex]x=6\\\\y=-2[/tex]
Step-by-step explanation:
[tex]y=10-2x[/tex] Equation:1
[tex]3x-2y=22[/tex] Equation:2
Using Substitution method:
Putting Equation:1 in Equation :2
[tex]3x-2(10-2x)=22\\\\3x-2(10)-2(-2x)=22\\\\3x-20+4x=22\\\\[/tex]
Adding the like terms:
[tex]7x-20=22\\\\[/tex]
Adding '20' both the sides:
[tex]7x=22+20[/tex]
[tex]7x=42\\[/tex]
Dividing by '7' both sides;
[tex]x=\dfrac{42}{7} \\\\x=6[/tex]
Putting the value of 'x' in Equation :1
[tex]y=10-2x[/tex]
[tex]y=10-2(6)\\\\y=10-12\\\\y=-2[/tex]
[tex]x=6\\\\y=-2[/tex]
