All categories

4 years ago

Solve this equation by the substitution method f(x)={2x+3y=25, {x-y=5

2 answers:

8 0

The second equation is perfect. We can add y to both sides to make the equation equal x.
X=5+y; let's plug that in for x in the first equation.
2(5+y)+3y=25
10+2y+3y=25
5y+10=25
Let's subtract 10 from both sides.
5y=15
Now divide both sides by 5.
Y=3
So y is 3. We can plug 3 in for y in the second equation.
X-3=5
X=8
So, X=8 and Y=3.

Katyanochek1 [597]4 years ago

5 0

2x + 3y = 25
x - y = 5

x-y = 5 [make x the subject]
x= 5 +y

Now substitute,
2(5+y) + 3y =25
10 + 2y + 3y =25
10 + 5y = 25
5y = 25-10
5y=15
y=15÷5
y=3

Now to find x, substitute the value of y

x = 5 +y
x = 5 +3
x = 8

You might be interested in

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?

kirill [66]

We are given vertices of the triangle DEF as:

D(3, 3) , E(3, −1) , and F(−2, −5) .

Let us plot those points on the graph.

Formula of area of the triangle with vertices (x1,y1), (x2,y2) and (x3,y3).

Area = 1/2 [ (x2-x1)(y3-y1)-(x3-x1)(y2-y1)]

We have x1=3, x2=3, x3=-2, y1=3, y2 =-1 and y3 = -5.

Plugging values in formula, we get

Area = |1/2 [ 3-3)(-5-3)-(-2-3)(-1-3)]|

= |1/2 [ 0(-8) - (-5)(-4)]|

=| 1/2 [0 - 20]|

= |-10|

=10.

<h3>Therefore, area of the triangle with given vertices is 10 square units.</h3>

7 0

3 years ago

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

Wittaler [7]

Answer:

Initial value $12$ , rate of change: $-2$

Step-by-step explanation:

Step 1

Find the rate of change

we know that

In a linear equation the rate of change is equal to the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(1,10)\ B(2,8)$

Substitute the values

$m=\frac{8-10}{2-1}$

$m=-2$ ----> rate of change

Step 2

Find the initial value

The equation of the line into slope-point form is equal to

$y-y1=m(x-x1)$

Substitute

$y-10=-2(x-1)$

$y=-2x+2+10$ $y=-2x+12$

The initial value is the value of y when the value of x is equal to zero (is the y-intercept)

$y=-2*0+12=12$ ----> initial value

7 0

3 years ago

Read 2 more answers

walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart

lara31 [8.8K]

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

7 0

3 years ago

Read 2 more answers

Help?? I seriously don’t understand?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

3(x-2)

Replace x as 12

3(12-2)

3(10)

3 times 10

7 0

3 years ago

Find the coordinates of P so that partitions ab in the ratio 5:1 with A(2,4) and B(8,10)

julsineya [31]

Answer:

The answer would be (7,9).

Step-by-step explanation:

If you partition that line by 6 you'd get (3,5), (4,6), (5,7), (6,8), and (7,9) in the middle of the two points. And the ratio of 5:1 would be seen at point (7,9).

8 0

3 years ago