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# Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12

### Question

Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12

### Options

A) $$\frac{3}{4}$$, 1

B) $$\frac{4}{3}$$, 1

C) $$\frac{3}{4}$$, -1

D) $$\frac{4}{3}$$, -1

The correct answer is D.

### Explanation:

3x - 5y = 9 ------x2
6x - 4y = 12 -----x1
6x - 10y = 18
-6x - 4y = 12
____________
$$\frac{6y}{-6}$$ = $$\frac{6}{6}$$
y = -1
in eq (1) 3x - 5y = 9
3x - 5(-1) = 9
3x + 5 = 9
3x = 4
x = $$\frac{4}{3}$$

## Dicussion (1)

• 3x - 5y = 9 ------x2
6x - 4y = 12 -----x1
6x - 10y = 18
-6x - 4y = 12
____________
$$\frac{6y}{-6}$$ = $$\frac{6}{6}$$
y = -1
in eq (1) 3x - 5y = 9
3x - 5(-1) = 9
3x + 5 = 9
3x = 4
x = $$\frac{4}{3}$$

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