All categories

3 years ago

Y = 1.10x + 5.00 y = 1.50x + 3.00 (substitution)

Mathematics

2 answers:

otez555 [7]3 years ago

5 0

Answer:

x=5 and y=10.5

Step-by-step explanation:

nataly862011 [7]3 years ago

4 0

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Step-by-step explanation:

We need to solve the system of equations by substitutions.

The system of equations given are:

$y = 1.10x + 5.00\\y = 1.50x + 3.00$

Let:

$y = 1.10 x+5.00\,\,eq(1)\\y = 1.50 x+ 3.00\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$1.50 x+ 3.00=1.10 x+5.00\\1.50 x-1.10 x=+5.00-3.00\\0.4x=2.00\\x=2.00/0.4\\x=5$

So, value of x=5

Now putting value of x in eq 1 to find value of y:

$y = 1.10x + 5.00$

$y = 1.10(5) + 5.00$

$y = 5.5 + 5.00$

$y = 10.5$

So, value of y is 10.5

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

You might be interested in

-0.8 written as a fraction is _____.

Degger [83]

-0.8 = -0.8/10
-0.8 x 10 = -8
1 × 10 = 10
-8/10
Simplified = -4/5

6 0

2 years ago

Read 2 more answers

Help me pleaseeee !!!

galina1969 [7]

Answer:

you save $5, i can't send a diagram to help though.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Con

mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

Convert 498,000 into scientific notation

Paladinen [302]

Hello! The answer to your question would be as followed:

4.98 x 10^5

8 0

3 years ago

Read 2 more answers

Help please how many should I use

andre [41]

Answer:

you should put 6 because 3/8 X 6 =18/8=2 2/6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers