Question

solve in either substitution or elimination explain each step you used and how you got it thanks :>​

Answer 1

Step-1: Multiply each equation by three such that 1 term is equal.

• 3(x/2 - 2y/3 = 7/3)

3x/2 + 2y = 5

• 3x/2 - 2y = 7/3

3x/2 + 2y = 5

Step-2: Subtract the like terms to isolate the variable.

• 3x/2 - 2y = 7/3

-3x/2 - 2y = -5

• => -4y = -8/3

Step-3: Solve for y.

• => 4y = 8/3
• => y = 2/3

Step-4: Substitute the value of y into any equation to obtain the value of x.

• 3x/2 + 2y = 5
• => 3x/2 + 2(2/3) = 5
• => 3x/2 + 4/3 = 5
• => 3x/2 = 5 - 4/3
• => 3x/2 = 11/3
• => 9x = 22
• => x = 22/9

Hoped this helped!