Question

the sum of 2 times a number and 3 times another number is 4. The first number minus the second number is -3. what are the numbers?​

Answer 1

A=-1, B=2

Explanation:

2a + 3b=4 equation 1

a-b=-3 equation 2

a=-3+b isolate a in equation 2

2(-3+b) + 3b=4. Substitute value of a in equation 2 (-3+b) into a value of equ 1

-6+2b+3b=4

5b=10

b=2

solve for a:

a-b=-3

a-(2)=-3

a-2=-3

a=-1