Ask question

Ask question

All categories

4 years ago

11

Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7

1 answer:

Fudgin [204]4 years ago

6 0

ANSWER

(3,-1)

EXPLANATION

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14

$x = \frac{14}{5} = 2 .8$

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1

You might be interested in

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

How do you do inverse operation on a fraction ( y/3 ) = -6

NemiM [27]

$\frac{-1}{18}$

Solution:

Given expression is $\frac{y}{3}=-6$

To find the inverse of y.

⇒ $\frac{y}{3}=-6$

Do cross multiplication.

⇒ y = –6 × 3

⇒ y = –18

Inverse of y means reverse the function.

We know that inverse of y is $\frac{1}{y}$ .

⇒ $\frac{1}{y}= \frac{-1}{18}$

Hence, inverse of y is $\frac{-1}{18}.$

4 0

3 years ago

G(x)=x^2-2,find the range for the domain

solong [7]

Range:[-2,8)
That’s the range for the domain down below

7 0

3 years ago

At the movie theatre, child admission is $5.90 and adult admission is $9.10. On Friday, 119 tickets were sold for a total sales

mafiozo [28]

Answer:

47550.501

Step-by-step explanation:

I multiplied them all together but i am not sure if i am correct...

3 0

3 years ago

Make 'm' the subject of the formula'k=3m-2

zaharov [31]

Answer:

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

Step-by-step explanation:

$k = 3m - 2 \\ 3m = k + 2 \\ m = \frac{k + 2}{3}$

4 0

4 years ago

Read 2 more answers