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qwelly [4]
3 years ago
15

Which is a solution to the system of equations?

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0
A.
Eqn 1 - Eqn 2:
x + 3y - (x + 2y) = 18 - 14
x + 3y - x - 2y = 4
y = 4

Substitute y = 4 into Eqn 1 (You can also do this with Eqn 2 instead)
x + 3(4) = 18
x = 6

Thus, (6,4)

Ivan3 years ago
5 0

Answer:

A (6,4)

Step-by-step explanation:

You might be interested in
What is the equation in slope-intercept form of the linear function represented by the table?
umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5).  Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains.  Take any two points and plug it into this: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

i.e. (-2,11) and (4,5): \frac{11-5}{-2-4} which is \frac{6}{-6}, or -1.  Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept.  Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0.  We now know that the y-intercept is (0,y).  To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0
2 years ago
Mia works at a smoothie shop. For h hours of work, Mia earns 8h dollars. Last weekend, Mia worked 9 hours.
anastassius [24]

Answer:

72$

Step-by-step explanation:

8h

h=9

8*9=72$

8 0
3 years ago
What is the value of x -6/7=-x/84?
AURORKA [14]

Answer:

x = 72 / 85

Step-by-step explanation:

x -6/7=-x/84

x + x/84 = 6/7

84/84x + 1/84x = (12*6) / (12*7)

85/84x = ( 72 ) / ( 84 )

85/84x = 72 / 84

Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:

84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }

{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )

(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)

x = 6048 / 7140

x = 72 / 85

6 0
3 years ago
Need help with 19-20 your suppose to simplify the expression
lesya692 [45]

To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:

36 / [10 - (3-1)²]

36 / [10 - (2)²]

Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).

36/ (10-4)

After that, we should compute the subtraction that is inside the parentheses.

36/6

Finally, we can solve using division.

6

Now, we can move onto problem 20:

1/4(16d - 24)

To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.

1/4 (16d-24)

1/4(16d) - 1/4(24)

Next, we can simplify further by using multiplication.

4d - 6

Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.

Hope this helps!

3 0
3 years ago
HELPPPP<br><br> If y=4, 3y+6=7(2y-3)
Step2247 [10]

Answer:

i think your question is missing something??

Step-by-step explanation:

3(4) + 6 = 7 (2(4)-3)

12 + 6 = 7 (8-3)

18 = 7 (5)

18 = 35?

8 0
3 years ago
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