Question

Y=2x+3 and y=3x-4 solve system by substitution show your work

Answer 1

x = 7

y = 17

Explanation:

Substitution method:

y = 2x + 3 ---------------(I)

y = 3x - 4 ----------------(II)

Substitute y = 3x - 4 in equation (I)

3x - 4 = 2x + 3

Add 4 to both sides

3x = 2x + 3 + 4

3x = 2x + 7

Subtract '2x' from both sides

3x - 2x = 7

`\sf \boxed{\bf x = 7}`

Substitute x = 7 in any one of the equation, Here I substituting in equation (I)

y = 2x + 3

y = 2*7 + 3

= 14 + 3

`\sf \boxed{\bf y = 17}`