X + y = 12 and y = x - 1.
Find the value of 2x + 2y.
2 answers:
Answer: 2x + 2y = 24 Explanation: x + y = 12 2(x + y = 12) 2x + 2y = 24 So therefore, 2x + 2y = 24
Answer:
2x + 2y = 24
Step-by-step explanation:
You have to isolate <em>y</em> and then use substitution.
x + y = 12 and y = x - 1
-x -x
y = -x + 12 and y = x - 1
-x + 12 = x - 1
+x +x
--------------------
12 = 2x - 1
+1 +1
----------------
13 = 2x
2x = 13 [ divide both sides by 2]
x = 6.5
Now, you have to plug <em>x</em> (6.5) into <em>y = x - 1</em>.
y = x - 1
y = 6.5 - 1
y = 5.5
Finally, plug both <em>x</em> (6.5) and <em>y</em> (5.5) into <em>2x + 2y</em>.
2x + 2y
= 2 (6.5) + 2 (5.5)
= 13 + 11
= 24
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