Question

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

Answer 1

Answer:

x=7/2, y=3

Step-by-step explanation:

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

3x-20+4x=22

7x=2

x=7/2

y=10-2(7/2)

y=3

Answer 2

Answer:

$x=6\\\\y=-2$

Step-by-step 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;

$x=\dfrac{42}{7} \\\\x=6$

Putting  the value of 'x' in Equation :1

$y=10-2x$

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

$x=6\\\\y=-2$