10) Solve the following equations. Check to see if your solution is correct. 2 0) 3a-7= 12+4a () x+7=-4
Answers
Answer:
a= -19
x= -3
Step-by-step explanation:
1)
3a-7= 12+4a
-7 -12 = 4a- 3a
-19 = a
a= -19
2)
x+7= 4
x = 4- 7
x= -3
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Write four solutions for each of the following equations:
(i) 2x+y=7
(ii) πx+y=9
(iii) x=4y
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Solution
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(i) 2x+y=7
y=7–2x
When x=0, then
y=7–2×0
y=7–0
y=7
When x=1 then
y=7–2×1
y=7–2
y=5
When x=2 then
y=7–2×2
y=7−4
y=3
When x=3 then
y=7−2×3
y=7−6
y=1
Hence, four solutions for equation 2x+y=7 are (0,7),(1,5),(2,3),(3,1).
(ii) πx+y=9
y=9−πx
When x=−1 then
y=9−π×−1
y=9+π
When x=0 then
y=9−π×0
y=9
When x=1 then
y=9−π×1
y=9−π
When x=2 then
y=9−π×2
y=9−2π
Hence, four solution for equation πx+y=9 are (−1,9+π),(0,9),(1,9−π),(2,9−2π).
(iii) x=4y
When y=0, then
x=4×0
x=0
When y=1 then
x=4×1
x=4
When y=−1 then
x=4×−1
x=−4
When y=2 then
x=4×2
x=8
Hence, four solutions for equation x=4y are (0,0),(4,1),(−4,−1),(8,2).
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