Question

X + 3y = 7,

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + 3y = 7 → (1)

2x + 4y = 9 → (2)

Solving for y in the second equation.

Rearrange (1) expressing x in terms of y by subtracting 3y from both sides

x = 7 - 3y → (3)

Substitute x = 7 - 3y into (2)

2(7 - 3y) + 4y = 9 ← distribute and simplify left side

14 - 6y + 4y = 9

14 - 2y = 9 ( subtract 14 from both sides )

- 2y = - 5 ( divide both sides by - 2 )

y = $\frac{5}{2}$

Substitute this value into (3) for corresponding value of x

x = 7 - 3($\frac{5}{2}$ ) = 7 - $\frac{15}{2}$ = - $\frac{1}{2}$

Solution is ( - $\frac{1}{2}$, $\frac{5}{2}$ )