Question

How do you solve this equation?
y=10-2x 3x-2y=22​

Answer 1

x=7/2, y=3

Explanation:

3x-2(10-2x)=22

3x-20+4x=22

7x=2

x=7/2

y=10-2(7/2)

y=3

Answer 2

`x=6\\\\y=-2`

Explanation:

`y=10-2x` Equation:1

`3x-2y=22` Equation:2

Using Substitution method:

Putting Equation:1 in Equation :2

`3x-2(10-2x)=22\\\\3x-2(10)-2(-2x)=22\\\\3x-20+4x=22\\\\`

Adding the like terms:

`7x-20=22\\\\`

Adding '20' both the sides:

`7x=22+20`

`7x=42\\`

Dividing by '7' both sides;

`x=(42)/(7) \\\\x=6`

Putting the value of 'x' in Equation :1

`y=10-2x`

`y=10-2(6)\\\\y=10-12\\\\y=-2`

`x=6\\\\y=-2`