Answer:
the solution is (-1/2, 6).
Step-by-step explanation:
Next time, please share the instructions.
Start by carrying out the indicated multiplication:
2x + 2y = 23 - 2y
Consolidate l ike terms: combine 2y and -2y: result: +4y on the left side:
2x + 4y = 23
Let's solve this system using elimination by substitution. Multiply 2x + 4y = 23 by -3 to obtain a -6x term:
-3(2x + 4y = 23) = -6x - 12y = -69. Now combine this result with the second equation:
-6x - 12y = -69
6x + 5y = 20 + 7
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- 7y = -42
Dividing both sides by -7, we get y = 6. Subbing 6 for y in the 2nd equation, we get:
6x = 27 -5(6), or
6x = 27 - 30 = -3
Then x = -3/6, or x = -1/2
and the solution is (-1/2, 6).
