The linear combination method involves multiplying, adding and subtracting in such a way that allows one variable to be eliminated in the addition or subtraction step. This leaves the other variable alone, allowing its value to be determined.
1. <span>5m+3n=41, 3m−6n=9
Multiply 1st equation by 2: 10m + 6n = 82
Add to 2nd equation: 13m = 91
Divide by 13: m = 7
Substitute back to 1st equation: n = 2
Therefore m = 7 and n = 2.
2. </span><span>6g+8h=40 −6g+2h=−20
Add both equations: 10h = 20
Divide by 10: h = 2
Substitute to 1st equation: g = 4
Therefore g = 4 and h = 2.
3. </span><span>9x+5y=35 2x+5y=0
Subtract 1st equation by the 2nd equation: 7x = 35
Divide by 7: x = 5
Substitute back to the 1st equation: y = -2
Therefore x = 5 and y = -2.
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It is being distributed ( ex: 5(1), bring the 5 over and multiply: 5). Since -1 is the term that is distributing for both 8m and 32, multiplying both would equal= -8m (8m x -1, + x - = negative), +32 (notice the positive, - x - = positive). In conclusion, this would be -8m+32.
Hello from MrBillDoesMath!
Answer:
x = -3, y = 0
Discussion:
5x + 5y = -15 =>
x + y = -3 => (divide both sides by 5)
x + y - y = -3 -y => (subtract y from both sides)
x = -3 - y
Substitute x = -3 - y into the top equation:
-3x - 5y = -9 =>
-3(-3-y) - 5y = 9 => ( substitute -3 -y for x)
(-3)(-3) + (-3)(-y) - 5y = 9 =>
9 + 3y - 5y = 9 => ( -*- is a + number)
9 -2y = 9 =>
9 - 9 -2y = 9 - 9 => (subtract 9 from both sides)
-2y = 0 =>
y = 0
Since x = -3 -y, x = -3 - 0 = =3
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MrB
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Answer:
No
Step-by-step explanation:
Answer:
36 boys are at the camp
Step-by-step explanation:
