All categories

3 years ago

y=3x−5 y=x−1 Is ( 2 , 1 )a solution of the system?

Mathematics

2 answers:

kotegsom [21]3 years ago

6 0

Answer: Yes, (2,1) is a solution.

Point for : (2,1)

Equation form : x=2 , y=1

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hope this helps you out! ☺

Aleks [24]3 years ago

5 0

Answer : (2,1) is a solution of the system.

Step-by-step explanation :

As we are given that:

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

y = x-1 ..........(2)

Now equating equation 1 and 2, we get the value of 'x'.

3x-5 = x-1

3x-x = -1+5

2x = 4

x = 4/2

x = 2

Now put the value of 'x' in equation 2, we get the value of 'y'.

y = x-1

y = 2-1

y = 1

Thus, the value of x = 2 and y = 1 that means (2,1) is a solution of the system.

Hence, the (2,1) is a solution of the system.

You might be interested in

The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.?

sergejj [24]

Answer:

Width is 10 1/2 inches and the length = 21 inches.

Step-by-step explanation:

Let the width be x then the length us 2x inches.

Perimeter = 2x + 2(2x) = 63

6x = 63

x = 10 1/2 inches.

5 0

3 years ago

P and W are twice-differentiable functions with P(7)=2(W(7)). The line y=9+2.5(x-7) is tangent to the graph of P at x=7. The lin

fiasKO [112]

Using the product rule, we have

$m(x) = x W(x) \implies m'(x) = xW'(x) + W(x)$

so that

$m'(7) = 7W'(7) + W(7)$

The equation of the tangent line to W(x) at x = 7 has all the information we need to determine m' (7).

When x = 7, the tangent line intersects with the graph of W(x), and

y = 4.5 + 2 (7 - 7) ==> y = 4.5

means that this intersection occurs at the point (7, 4.5), and this in turn means W (7) = 4.5.

The slope of this tangent line is 2, so W' (7) = 2.

Then

$m'(7) = 7\cdot2 + 4.5 = \boxed{18.5}$

4 0

3 years ago

A customer left a 15% tip for a meal that cost $64. What was the total amount the customer paid for the meal and tip?

Inessa05 [86]

Answer:

73.6

Step-by-step explanation:

64x15%=9.6

9.6+64=73.6

4 0

2 years ago

The segments represent roads in a town, measured in miles. Theo drove from the post office to the grocery store. How many miles

Ivahew [28]

Answer:

16 miles

Step-by-step explanation:

The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office. 8(2) = 16

6 0

3 years ago

Read 2 more answers

A farmer estimated that there were 25 gallons of water left in a tank. If this is an underestimate by 16%, how much water was ac

djyliett [7]

Answer:

The actual water in the tank is 29.76 gallons.

Step-by-step explanation:

It is given that the farmer estimated amount of water is 25 gallons.

It is also given that he underestimate the water in tank by 16%.

Let the actual water in tank be x.

$(1-\frac{16}{100})x=25$

$(\frac{100-16}{100})x=25$

$84x=25\times 100$

$x=\frac{2500}{84}$

$x=29.7619$

$x\approx 29.76$

Therefore the actual water in the tank is 29.76 gallons.

8 0

3 years ago

​ y=3x−5 y=x−1 ​ Is ( 2 , 1 )a solution of the system?

y=3x−5 y=x−1 Is ( 2 , 1 )a solution of the system?