All categories

2 years ago

Solve the systems using substitution. 1.6x + 2y = -2 4x + y = 1

1 answer:

6 0

$\begin{array}{ccc}(1)\\(2)\end{array}\ \left\{\begin{array}{ccc}6x+2y=-2\\4x+y=1\end{array}\right\\\\4x+y=1\ \ \ |subtract\ 4x\ from\ both\ sides\\y=1-4x\\\\subtitute\ y=1-4x\ to\ (1):\\\\6x+2(1-4x)=-2\\6x+2\cdot1+2\cdot(-4x)=-2\\6x+2-8x=-2\\-2x+2=-2\ \ \ \ |subtract\ 2\ from\ both\ sides\\-2x=-4\ \ \ |divide\ both\ sides\ by\ (-2)\\\boxed{x=2}\\\\subtitute\ the\ value\ of\ x\ to\ the\ y=1-4x:\\\\y=1-4\cdot2\\y=1-8\\\boxed{y=-7}\\\\Answer: \left\{\begin{array}{ccc}x=2\\y=-7\end{array}\right$

You might be interested in

If you wanted to make the graph of y=3x+1 steeper, which equation could to use?

Sidana [21]

Answer:

Literally use any answer which has a higher slope so . . .

y = 10x + 1

y = 1000000000000000000x + 1

and so on.

7 0

2 years ago

Solve the proportion for X. 5/2.5= X/2 1 4 5.5 6.25

Sav [38]

Answer:

$\large \boxed{X = 4}$

Step-by-step explanation:

5/2.5 = X/2

To solve a proportion, use the following equation:

(numerator * opposite denominator) = (numerator * opposite denominator)

Substitute in given numbers

(5 * 2) = (X * 2.5)

Multiply to simplify

10 = 2.5X

Divide both sides of this equation by 2.5

$\large \boxed{X = 4}$

Hope this helps :)

8 0

2 years ago

One evening brody and tessa both had a hot dog. Each hot dog was 2.50. How much was the total

bezimeni [28]

$2.50 + $2.50= $5 Two people so two hot dogs

3 0

3 years ago

Read 2 more answers

Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.

maksim [4K]

Hope it helpssss…….hehe

7 0

2 years ago

Describe the relationship between the segments made when secant lines intersect outside a circle. Use the following image as ref

Natali [406]

Let the extensions of secants AD and BC meet at point P.

Let the measure of ar DC be 2a, then m(DAC)=m(DBC)=a, since angles DAC and DBC are both inscribed angles intercepting arc DC.

m(P)=b.

Then triangles APC and BPD are similar, because they have 2 pairs of common angles.

from the similarity of APC and BPD, we can write the ratios:

$\frac{AP}{BP} = \frac{PC}{PD} = \frac{AC}{BD}$

5 0

3 years ago