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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 ?

 Sep 6, 2014

Best Answer 

 #1
avatar+33653 
+5

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

 Sep 6, 2014
 #1
avatar+33653 
+5
Best Answer

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

Alan Sep 6, 2014

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