Question

Solve the simultaneous equations4x + 5y = 94x - 2y = 2

Answer 1

Answer:

x = 1 and y = 1

Step-by-step explanation:

Let's solve your system by substitution.

4x + 5y = 9 ; 4x − 2y = 2

- Solve 4x + 5y = 9 for x:

4x + 5y = 9

4x + 5y + − 5y = 9 + − 5y (Add -5y to both sides)

4x = − 5y + 9

$\frac{4}{x} = \frac{- 5y + 9}{4}$

$x = \frac{- 5}{4} y + \frac{9}{4}$  

Then Substitute $\frac{- 5}{4} y + \frac{9}{4}$  for x in 4x - 2y = 2

4x − 2y = 2

4($\frac{- 5}{4} y + \frac{9}{4}$) − 2y = 2

− 7y + 9 = 2 (Simplify both sides of the equation)

− 7y + 9 + − 9 = 2 + − 9 (Add -9 to both sides)

− 7y = − 7

$\frac{- 7y}{- 7} = \frac{- 7}{- 7}$  (Divide both sides by -7)

y = 1

Substitute 1 for y in x = $\frac{- 5}{4} y + \frac{9}{4}$

$x = \frac{- 5}{4} y + \frac{9}{4}$

$x = \frac{- 5}{4} (1) + \frac{9}{4}$

x = 1

So, x = 1 and y = 1