Question

y=-2/3x+4 y=4x+1 in substitution method

Answer 1

answer is x=0.9
y=4.6

Answer 2

y = -⅔x+4y -(1)

y = 4x+1-(2)

We have to find the solution by substitution method . So ,

Substituting the value of y from eq. 2 in eq. 1 ,

4x+1 = -⅔x+4

4x= -⅔x+4-1

4x = -⅔x +3

4x+⅔x = 3

$\frac{12x}{3} + \frac{2x}{3} = 3 \\ = \frac{14x}{3} = 3 \\ 14x = 9 \\ x = \frac{9}{14}$

$y = 4x + 1 \\ y = 4 \times \frac{9}{14} + 1 \\ = \frac{18}{7} + 1 \\ = \frac{18 + 7}{7} = \frac{25}{7}$