Solve.{3x+y=42x+y=5
Use the linear combination method.
A.) (-3,12)
B.) (-3,13)
C.) (0,4)
D.) (-1,7)
Answers
Answer:
(D)(-1,7)
Step-by-step explanation:
We want to solve for x and y in the simultaneous equation
3x+y=4
2x+y=5
Subtract Equation 2 from Equation 1
x=-1
Substitute x=-1 into any of the equations to solve for x.
3x+y=4
3(-1)+y=4
-3+y=4
y=4+3=7
Therefore: (x,y)=(-1,7)
2x + y = 5....multiply by -1
--------------
3x + y = 4
-2x - y = -5 (result of multiplying by -1)
-------------add
x = -1
3x + y = 4
3(-1) + y = 4
-3 + y = 4
y = 4 + 3
y = 7
solution is (-1,7)
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Probability that Cedric will take the blue and black pen is .
Step-by-step explanation:
Total No of pen on Desk = 3
Without replacement means each time next pen is drawn the total no of pen decreases by 1.
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=
=
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? You only need to put one equation in the answer box.
Answers
Answers
Hope this helps!!!
you multiply 4 and x and you get 4x
you also multiply 4 and y snd get 4y
hope this helped
Answers
y + 4 = 1/3(x - 2)
y + 4 = 1/3x - 2/3
y + 12/3 = 1/3x - 2/3
y = 1/3x - 14/3
Answers
The given ratios 9/15 and 6/10 are equivalent form is a proportion of 3/5.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
To determine whether the ratios 9/15 and 6/10 form a proportion, we need to check whether the cross-products of these ratios are equal. The cross-product of two ratios is found by multiplying the numerator of the first ratio by the denominator of the second ratio, and vice versa.
In this case, the cross-product of the ratios 9/15 and 6/10 is (9 x 10) / (15 x 6) = 90/90 = 1. Since the cross-products of these ratios are equal, the ratios 9/15 and 6/10 form a proportion.
Alternatively, we can also check whether the two ratios are equivalent. To do this, we can simplify both ratios to their lowest terms.
The simplified form of the ratio 9/15 is 3/5, and the simplified form of the ratio 6/10 is 3/5. Since the simplified form of both ratios is the same, the ratios are equivalent and form a proportion.
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