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3 years ago

Use substitution to solve the system 5x-3y=23 2x+y=7

1 answer:

7 0

Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y: y = 7 - 2x. Substituting this into 5x - 3y = 23,

5x - 3(7 - 2x) = 23. Multiply out -3(7 - 2x):

5x - 21 + 6x = 23. Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.

Thus, x = 4. Since y = 7 - 2x, subst. x = 4 results in the value of y:

y = 7 - 2(4) = 7 - 8 = -1.

The solution is (4,-1).</span>

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Which statement below applies the angle addition postulate

kvv77 [185]

Thge answer id the first one or last one

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3 years ago

2: Write out a system of equations that has infinite solutions. Explain why it has infinite

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Answer:

Below!

Explanation:

A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.

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2 years ago

An engineer was supposed to draw a line exactly 7/10 centimeters long. An error was made, and he drew the line 9/10 centimeters

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Answer:

2/10 or 1/5 if you want it simplified

Step-by-step explanation:

9/10 is basically 9 and 7/10 is 7 so 9 - 7 is 2 and we need to add the /10 back so it's 2/10 or 1/5

7 0

2 years ago

Read 2 more answers

Let a,b,c ∈ Z. Define the highest common factor hcf(a,b,c) to be the largest positive integer that divides a,b and c. Prove that

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21 they have too be right next to each other and threy have too be right

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3 years ago

An adult ticket to a museum costs 3$ more than a children’s ticket. When 200 adult tickets and 100 children tickets are sold, th

antiseptic1488 [7]

The cost of children’s ticket is $ 5

<h3><u>Solution:</u></h3>

Let "c" be the cost of one children ticket

Let "a" be the cost of one adult ticket

Given that adult ticket to a museum costs 3$ more than a children’s ticket

<em>Cost of one adult ticket = 3 + cost of one children ticket</em>

a = 3 + c ------ eqn 1

<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>

200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100

$200 \times a + 100 \times c = 2100$

200a + 100c = 2100 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

Substitute eqn 1 in eqn 2

200(3 + c) + 100c = 2100

600 + 200c + 100c = 2100

600 + 300c = 2100

300c = 1500

Thus the cost of children’s ticket is $ 5

6 0

3 years ago