2x + 5y = 26....multiply by 3
3x + 4y = 26...multiply by -2
------------------
6x + 15y = 78 (result of multiplying by 3)
-6x - 8y = - 52 (result of multiplying by -2)
-----------------add
7y = 26
y = 26/7 (or 3 5/7)
2x + 5y = 26
2x + 5(26/7) = 26
2x + 130/7 = 26
2x = 26 - 130/7
2x = 182/7 - 130/7
2x = 52/7
x = 52/7 * 1/2
x = 52/14 which reduces to 26/7 (or 1 5/7)
solution is : (26/7, 26/7)
Answer:
x=2;y=2
Step-by-step explanation:
2x+y=6..........1
3x-y=4............2
adding equation1 with equation 2
2x+y+3x-y=6+4
5x=10
x=10/5=2
substituting vslue of y in equation 1
2×2+y=6
y=6-4
y=2
Answer:
The room will cost $569.80 to carpet.
Step-by-step explanation:
Recall that 1 square yard = 9 square feet.
The area of the bedroom, in square feet, is (11 ft)(14 ft) = 154 ft^2.
Converting this to square yards:
154 ft^2 1 yd^2
------------ * ------------ = 17.1 yd^2
1 9 ft^2
17.1 yd^2 $33.30
------------- * ------------- = $569.80
1 1 yd^2
The room will cost $569.80 to carpet.
The answer is B. 7 times a number plus 4 would be 7n +4.
<h3>
Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
