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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Answer:
tan R= 45/28
tan S= 28/45
Step-by-step explanation:
tan R = TS/RT= 45/28
tanS = RT/TS= 28/45
If g=4/5, the answer would be B: y= (4/5)x-6
Answer:
6:2 Simplified: 3;1
Step-by-step explanation:
For every six cups of flour there are 2 cups of milk. Its a 6:2 ratio :)
Parallel lines will never touch each other while perpendicular forms like an X shape. The slope for the parallel is the same while the perpendicular is a negative reciprocal. (Ex for negative reciprocal. 2/4=4/2)
