3x+4y=48

Question

6x+2y=60

solve with steps

Answer 1

To solve this system of equations:

Step 1: Multiply the first equation by 2 and the second equation by 4 to eliminate y:

2(3x + 4y) = 2(48)
4(6x + 2y) = 4(60)

This simplifies to:
6x + 8y = 96
24x + 8y = 240

Step 2: Subtract the first equation from the second equation to eliminate y:

(24x + 8y) - (6x + 8y) = 240 - 96

This simplifies to:
18x = 144

Step 3: Divide both sides of the equation by 18 to solve for x:

18x/18 = 144/18
x = 8

Step 4: Substitute the value of x (8) into one of the original equations, such as the first equation, to solve for y:

3(8) + 4y = 48
24 + 4y = 48

Step 5: Subtract 24 from both sides of the equation:

4y = 48 - 24
4y = 24

Step 6: Divide both sides of the equation by 4 to solve for y:

4y/4 = 24/4
y = 6

Therefore, the solution to the system of equations is x = 8 and y = 6.