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Sergeu [11.5K]
2 years ago
9

What is the solution for the system of equations? Use the substitution method to solve. Y=5−3x5x−4y=−3 Enter your answer by fill

ing in the boxes. ( , ​ ​).
Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.

Given

The equations are shown below.

y = 5 - 3x .....1

5x - 4y = -3 .....2

Substitute equation 1 in equation 2. Then

\begin{aligned} 5x - 4(5-3x) &= -3\\\\5x - 20 + 12x &= -3\\\\17x &= -3 +20 \\\\17x  &= 17\\\\x &= 1\end{aligned}

Then substitute the value of x in equation 1.

y = 5- 3x\\\\y = 5-3*1\\\\y = 2

Thus, the value of x and y is 1 and 2 respectively.

More about the linear system link is given below.

brainly.com/question/20379472

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Find the distance between the points (3,0) and (-1,-5)
nadya68 [22]

Answer:

6.4

Step-by-step explanation:

distance formula \sqrt{(x2-x1)^2+(y2-y1)^2}

\sqrt{(-1-3)^2+(-5-0)^2}

\sqrt{(-4)^2+(-5)^2}

\sqrt{16+25}

\sqrt{41}≈6.403.......

ik it doesnt make any sinse but hope this helps

7 0
3 years ago
Saul makes green paint by mixing blue paint and yellow paint.
Mamont248 [21]

Answer:

12 gallons of yellow paint

4 gallons of blue paint

Step-by-step explanation:

saul’s paint ratio is 3b to 1y which makes 4ounces of paint total (3b+1y=4)

So if you want 16 gallons of paint total using the same ratio of colors then you need to figure out how many of the recipe you will need to put in by dividing

16/4=4 so 4 times the original recipe

Now multiply the original paint numbers by 4 since you will do the ratio 4 times

3y*4= 12 gallons of yellow paint and

1b*4= 4 gallons of blue paint


Hope this helps! :)

5 0
2 years ago
If 6 cups of cheese serves 30 people how cups of cheese serve 50
bezimeni [28]
6 cups of cheese servings times 5 = 30
10 cups of cheese servings time 5 = 50
So , it's 10 cups of cheese servings.
4 0
2 years ago
Read 2 more answers
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points
vladimir2022 [97]

Answer: Ned received 86 Points overall on the test and Ned lost 24 points overall on his test.

Step-by-step explanation: Ned got 19 questions correct and 6 questions incorrect. He as well got 10 bonus points for answering a bonus question correctly. We know each of the questions on the test (excluding the bonus question) is worth 4 points.

If Ned got 19 questions correct that means 19 x 4 = he received 76 points.

If Ned got 6 questions incorrect that means 6 x 4 = he lost 24 points.

If Ned got 1 question correct that is worth 10 points, that means he got an additional 10 points to his score.

We can add the amount of points Ned scored to the amount of bonus points he earned; 76 + 10 = 86 points total on his test.

5 0
2 years ago
Find the area of a triangle b=72.5 a=105 c=64
riadik2000 [5.3K]
There are two methods I know. hope it'd help :)

7 0
3 years ago
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