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Mariana [72]
3 years ago
15

Solve the system by substitution. 2.5x-3y=-13 3.25x-y=-14

Mathematics
1 answer:
MrMuchimi3 years ago
4 0

Answer:

x=-4

y=1

Step-by-step explanation:

For the given system of equations,

2.5x-3y=-13.....eqn(1)

3.25x-y=-14.....eqn(2)

We first make y the subject of eqn (2)

This implies that,

y=3.25x+14.....eqn(3)

We substitute eqn (3) into eqn (1)

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-42+13=9.75x-2.5x

-29=7.25x

Dividing through by 7.25, we obtain

x=-4

We now put the value of x into eqn (2)

3.25(-4)-y=-14

This implies that,

-13+14=y

y=1

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Solve for x: −3|2x + 6| = −12 (1 point)
Alla [95]

Answer:

x = - 5, x = - 1

Step-by-step explanation:

Given

- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )

| 2x + 6 | = 4

The absolute value always returns a positive value, but the expression inside can be positive or negative, that is

2x + 6 = 4 ( subtract 6 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

OR

- (2x + 6) = 4 ← distribute left side

- 2x - 6 = 4 ( add 6 to both sides )

- 2x = 10 ( divide both sides by - 2 )

x = - 5

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True

x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True

Thus x = - 5 and x = - 1 are the solutions

8 0
4 years ago
What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625
babymother [125]

Answer:

15625

Step-by-step explanation:

Lets use the information to present the question into mathematical form:

(-5)^{6}

so this means -5 is multiplying itself 6 times so this means

value of negative 5 superscript 6 means

(-5)^{6} = -5 x -5 x -5 x -5 x -5 x -5

so the answer is 15625

7 0
3 years ago
Read 2 more answers
Vector u has its initial point at (14, -6) and its terminal point at (-4, 7). Write the component form of u and find its magnitu
Thepotemich [5.8K]

\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}

3 0
3 years ago
(x + y + 3)(x + y - 4) multiplying polynomials
Yuliya22 [10]
X^2 + 2xy + -x + y^2 + -y + -12
4 0
4 years ago
HELP PLEASE <br><br><br> Evaluate x-4/2 when x = –1.6.
djverab [1.8K]
X - 4/2 ; where x = -1.6

Substitute x by its value.

-1.6 - 4/2         *as you notice, one number is in decimal and the other is in fraction form. We need to convert one form to the other to make the numbers like numbers so that solving the equation will be easier and less confusing.

4/2 can easily be converted into decimal by dividing 4 by 2 which equals to 2.

So, -1.6 - 2 = ?  The operation is a subtraction, but the other number is in negative form, if both numbers have the same sign, we add them up and the sign is carried over to the sum.

-1.6 -2 = -3.6  * we add 1.6 + 2 = 3.6, then we carry over its negative sign = -3.6
7 0
3 years ago
Read 2 more answers
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