Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the
1 answer:
Answer:
Step-by-step explanation:
2x + 5y = 16 ------------------(1)
-5x -2y = 2 ------------------(2)
<u>Multiplying (1) by 5 </u>
5(2x+5y) = 16*5
10x+25y = 80 ----------------(3)
<u>Multiplying (2) by 2</u>
2(-5x-2y) = 2*2
-10x - 4y = 4 -----------------(4)
Adding Eq. (3) and (4)
10x + 25y -10x -4y = 80 + 4
25y - 4y = 84
21y = 84
Dividing both sides by 21
y = 4
Now, Putting y = 4 in Eq. (1)
2x + 5(4) = 16
2x + 20 = 16
2x = 20 - 16
2x = 4
Dividing both sides by 2
x = 2
Ordered Pair = (x,y) = (a,b) = (2,4)
Hope this helped!
<h2>~AnonymousHelper1807</h2>You might be interested in
Triangle RST has vertices:
R(-4,2)
S(3,5)
T(-4,-4)
Then, the triangle is moving to the left you subtract the number of units from the x coordinates of each vertex of the triangle.
And the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex. So:
For R'
For S'
For T'
Answer:
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Answer:
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Given:
Find:
Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.
<u>Plug in the values</u>
<u>Simplify</u>
As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.