Using a system of equations, find two numbers whose sum is 26 and whose difference is 12.

sum: 19 + 7 = 26

difference: 19 - 7 = 12

step-by-step explanation:

the sum of x and y is 26. in other words, x plus y equals 26 and can be written as equation a:

x + y = 26

the difference between x and y is 12. in other words, x minus y equals 12 and can be written as equation b:

x - y = 12

now solve equation b for x to get the revised equation b:

x - y = 12

x = 12 + y

then substitute x in equation a from the revised equation b and then solve for y:

x + y = 26

12 + y + y = 26

12 + 2y = 26

2y = 14

y = 7

now we know y is 7. this means that we can substitute y for 7 in equation a and solve for x:

x + y = 26

x + 7 = 26

X = 19

good luck :)

hopefully, this helps

have a great day !!

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: