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Find the solution to the systems of equation

3x-2y=-9
4x+3y22

User Koguro
by
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1 Answer

2 votes

Answer:

x = 1 and y = 6

Explanation:

3x - 2y = -9 ........................... eqn 1

4x + 3y = 22 ........................... eqn 2

to eleminate y, multiply eqn 1 by 3 and eqn 2 by 2

(3x - 2y = -9) × 3

(4x + 3y = 22) × 2

9x - 6y = -27 ........................... eqn 3

8x + 6y = 44 ........................... eqn 4

Add eqn 3 and 4 together and we get

17x = 17

x = 17/17

x = 1

To get y, substitute 1 for x in any of the eqns

taking eqn 4

8(1) + 6y = 44

8 + 6y = 44

6y = 44 - 8

6y = 36

y = 36/6

y = 6

User Bkorte
by
3.5k points