4a+3b=22
5a-4b=43
What is a and b gonna be ?
i got 31a = 217
(this is how i got this)
4a+3b=22
5a-4b=43
16a+12b=88 times everything by 4
15a-12b=129 times everything by 3
31a = 129 canceled the 12b and i added 15a+16a and also added 88+129 = 217
Is this right ? if yes what is A and B gonna be ?
You are on the right track!
4a + 3b = 22 ...(1)
5a - 4b = 43 ...(2)
Multiply (1) by 4 and (2) by 3 (as you did):
16a + 12b = 88 ...(3)
15a - 12b = 129 ...(4)
Add (3) and (4)
31a = 217 ...(5)
Divide both sides of (5) by 31
a = 7 ...(6)
Substitute (6) into (1)
4*7 + 3b = 22
Subtract 28 (=4*7) from both sides
3b = -6
Divide both sides by 3
b = -2
You are on the right track!
4a + 3b = 22 ...(1)
5a - 4b = 43 ...(2)
Multiply (1) by 4 and (2) by 3 (as you did):
16a + 12b = 88 ...(3)
15a - 12b = 129 ...(4)
Add (3) and (4)
31a = 217 ...(5)
Divide both sides of (5) by 31
a = 7 ...(6)
Substitute (6) into (1)
4*7 + 3b = 22
Subtract 28 (=4*7) from both sides
3b = -6
Divide both sides by 3
b = -2