Solve the system of equations. 2x + 3y = 1 5x + 2 = 8 What is the solution?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

Answer:

x = 2, y = -1

Step-by-step explanation:

2x + 3y = 1.....(1)

5x + 2y = 8.....(2)

multiply equation (1) by 5 and equation (2) by 2

10x + 15y = 5 .......(3)

10x + 4y = 16......(4)

solving by elimination method

we subtract equation (4) from (3)

hence ...

11y = -11

dividing both sides by 11

y = -1

substituting y = -1 in equation (1) to solve for the value of x

2x + 3(-1) = 1

2x - 3 = 1

rearranging,

2x = 3 + 1

2x = 4

dividing both sides by 2

x = 2

You might be interested in

If r = −6, s = −2, and t = −3 then evaluate –t(r – s).

nekit [7.7K]

3(-6+2)
3(-4)
12
;( the correct

8 0

3 years ago

Read 2 more answers

Domain and range of graph need ASAP

Lostsunrise [7]

Answer:

Domain: $-6 \leq x \leq 3$

Range: $-3 \leq x \leq 6$

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: $-6 \leq x \leq 3$ , because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

6 0

3 years ago

The density of titanium is 4.51 g/cm^3

forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

$volume = \frac{mass}{density}$