Question

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

Answer 1

Answer:

$x = 1.25$

$y = 0$

Step-by-step explanation:

Given

$4x - 5y = 5$

$0.08x + 0.10y = 0.10$

Required

Determine the solution

Make x the subject of formula in: $4x - 5y = 5$

$4x = 5 + 5y$

Divide both sides by 4

$\frac{4x}{4} = \frac{5 + 5y}{4}$

$x = \frac{5 + 5y}{4}$

Substitute $x = \frac{5 + 5y}{4}$ in $0.08x + 0.10y = 0.10$

$0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10$

Solve the fraction

$0.02(5 + 5y) + 0.10y = 0.10$

Open the bracket

$0.1 + 0.1y + 0.10y = 0.10$

$0.1 + 0.2y = 0.10$

Subtract 0.1 from both sides

$0.1-0.1 + 0.2y = 0.10 - 0.1$

$0.2y = 0$

Divide both sides by 0.2

$y =0$

Substitute 0 for y in $x = \frac{5 + 5y}{4}$

$x = \frac{5 + 5*0}{4}$

$x = \frac{5 + 0}{4}$

$x = \frac{5 }{4}$

$x = 1.25$