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If you would like to solve the system of equations, you can do this using the following steps:
2x - y = -2
x = 14 + 2y
__________
<span>2x - y = -2
</span>2 * (14 + 2y) - y = -2
28 + 4y - y = -2
28 + 3y = -2
3y = -2 - 28
3y = -30 /3
y = -30/3
y = -10
<span>x = 14 + 2y = 14 + 2 * (-10) = 14 - 20 = -6
</span>
(x, y) = (-6, -10)
The correct result would be <span>(-6, -10).</span>
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Answer:
The answer is 170
Step-by-step explanation:
Because 8 + 9 = 17, if we multiply all of these values by ten or add a zero to the end of each number, we should get
80 + 90 = 170
