Question

Solve the given simultaneous equations
11x + 15y + 23 = 0
7x - 2y - 20 = 0​

Answer 1

Answer:

4x-13y-3=0

Step-by-step explanation:

11x+15y+23=0

7x-2y-20=0

=4x-13y-3=0

Answer 2

(i) $11x+15y+23=0$

First, let's solve for x.

Step 1: Add -15y to both sides.

$11x+15y+23+-15y=0+-15y$

$11x+23=-15y$

Step 2: Add -23 to both sides.

$11x+23+-23=-15y+-23$

$11x=-15y-23$

Step 3: Divide both sides by 11.

$\frac{11x}{11} =\frac{-15y-23}{11}$

$x=\frac{-15}{11} y+\frac{-23}{11}$

Now let's solve for y.

Step 1: Add -11x to both sides.

$11x+15y+23+-11x=0+-11x$

$15y+23=-11x$

Step 2: Add -23 to both sides.

$15y+23+-23=-11x+-23$

$15y=-11x-23$

Step 3: Divide both sides by 15.

$\frac{15y}{15} =\frac{-11x-23}{15}$

$y=\frac{-11}{15}x+\frac{-23}{15}$

(ii) $7x-2y-20=0$

First, let's solve for x.

Step 1: Add 2y to both sides.

$7x-2y-20+2y=0+2y$

$7x-20=2y$

Step 2: Add 20 to both sides.

$7x-20+20=2y+20$

$7x=2y-20$

Step 3: Divide both sides by 7.

$\frac{7x}{7} =\frac{2y+20}{7}$

$x=\frac{2}{7}y+\frac{20}{7}$

Now let's solve for y.

Step 1: Add -7x to both sides.

$7x-2y-20-7x=0-7x$

$-2y-20=-7x$

Step 2: Add 20 to both sides.

$-2y-20+20=-7x+20$

$-2y=-7x+20$

Step 3: Divide both sides by -2.

$\frac{-2y}{-2}=\frac{-7x+20}{-2}$

$y=\frac{7}{2}x-10$