Question

4x +5y =24 2x+7y=21​

Answer 1

Use elimination
Multiply second equation by 2
4x + 14y = 42
4x + 5y = 24
Now subtract both
9y = 18
Y = 2
Plug 2 into equation to solve for x
4x + 5(2) = 24
4x = 14
x = 3.5, y = 2

Answer 2

Answer:

x = 3.5, y = 2

Step-by-step explanation:

This is a system of equations.

Original equations:

$4x+5y=24\\3x+7y=21$

Substitute y and solve for x:

→ $y=\frac{24-4x}{5} \\2x+7y=21$

Substitute the value for y and simplify:

→ $2x+\frac{7(24-4x)}{5} =21$

→ $2x + \frac{(168 - 28x)}{5}=21$

Multiply by 5 on both sides

→ $10x + 168-28x = 105$

Simplify → $-18x = -63$

→ $x = 3.5$

Plug in the value for x into either equation:

→ $4*3.5 + 5y=24$

→ $14+5y=24$

→ $5y=10$

→ $y=2$