Answer:
(-2 , 2)
Step-by-step explanation:
2x + 3y = 2 ---------------(I)
y = (1/2)x + 3 --------------(II)
Substitute y value in equation (I)
[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]
Multiply the whole equation by 2
[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]
7x = -14
x = -14/7
x = -2
Plugin x = -2 in equation (I)
2*(-2) + 3y= 2
-4 + 3y = 2
Add 4 to both sides
3y = 2+4
3y = 6
Divide both sides by 3
y = 6/3
y = 2
