3 years ago

What is the solution of this system of equations?y = 3x + 5y = -x + 3

Mathematics

1 answer:

Viktor [21]3 years ago

3 0

Answer:

The solution is (-1/2, 3 1/2), or (-0.5, 3.5)

Step-by-step explanation:

Seeing that -x + 3 = y (in the second equation), substitute -x + 3 for y in the first equation, obtaining:

-x + 3 = 3x + 5

Combining the x terms, we get

3 = 4x + 5

Combining the constants, we get

4x = -2, or x = -1/2

Seeing that -x + 3 = y, substitute -1/2 for x and calculate y:

-(-1/2) + 3 = y = 3 1/2

The solution is (-1/2, 3 1/2), or (-0.5, 3.5)

You might be interested in

René is twice as old as Jim In four years the sum of their ages is 60 how old are they now

Brrunno [24]

R=16
J=32
20+40(which is 20×2)=60
20-4=16
16×2=32

3 0

3 years ago

What is the effect on the graph of f(x)=1xf(x) = \frac{1}{x}f(x)=x

Doss [256]

Answer:

Step-by-step explanation:

8 0

3 years ago

Solve for the variable. 3/4x = -24

sleet_krkn [62]

Hello!

Answer:

$\huge\boxed{x = -32}$

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

8 0

3 years ago

Read 2 more answers

What’s the answer for this question

LenKa [72]

Answer:

12.56 yd^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi (2)^2 (1)

V = pi (4)

Let pi = 3.14

V = 3.14 (4)

V =12.56

3 0

3 years ago

ich sequence of transformations would result in a figure that is similar, but not congruent, to the original figure? Select all

n200080 [17]

Translations, reflections, and rotations always result in a figure that is congruent. Only dilations with a scale factor other than 1 will give a similar, but not congruent, figure.

The 1st and 4th selections apply.

6 0

3 years ago

What is the solution of this system of equations?y = 3x + 5y = -x + 3​

What is the solution of this system of equations?y = 3x + 5y = -x + 3