Question

rewrite the following equations in the form ax + by = c to y = mx + b and voice versa

1.) 2x + y = 13
2.) y = 3x - 3
3.) 5x + 3y = 30
4.) 5x - 4y = -6

Kung sino maka sagot bibigyan ko load 100​

Answer 1

GIVEN :

Rewrite the below equations in the form ax+by=c to y=mx+b

1) 2x+y=13

2) y=3x-3

3) 5x+3y=30

4) 5x-4y=-6

TO REWRITE :

The given equations in the form ax+by=c to  y=mx+b

1.) 2x+y=13

2.) y=3x-3

3.) 5x+3y=30

4.) 5x-4y=-6

SOLUTION :

Given equations are

1.) 2x + y = 13

2.) y = 3x - 3

3.) 5x + 3y = 30

4.) 5x - 4y = -6

We have to write the equations in the form ax + by = c to y = mx + b

1) 2x+y=13

y=13-2x

y=-2x+13

2) y=3x-3 as already the given equation is in the form of y = mx + b  so nothing going to change.

3) 5x+3y=30

3y=30-5x

$y=\frac{30-5x}{3}$

$y=\frac{30}{3}-\frac{5x}{3}$

$y=10-\frac{5x}{3}$

$y=-\frac{5x}{3}+10$

4) 5x-4y=-6

-4y=-6-5x

4y=6+5x

$y=\frac{6+5x}{4}$

$y=\frac{6}{4}+\frac{5x}{4}$

$y=\frac{3}{2}+\frac{5x}{4}$

$y=\frac{5x}{4}+\frac{3}{2}$