Step-by-step explanation: According to the order of operations, the first step in evaluating the left side of the equation would be to multiple 3(-6). This equals -18. Adding 5 to that results in -13. Because 23 (26-3) is not equal to -13, this equation is untrue.

7 0

4 years ago

A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?

tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0

3 years ago

Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =

goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and 8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

$4x-2y=6\hfill (1)$

$2x+y=5\hfill (2)$

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

$4x+2y=10\hfill (3)$

Now adding the equations (1) and ( 3) we get

$4x-2y=6$

$4x+2y=10$

_______________

$8x=16$

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

$4(2)-2y=6$

$8-2y=6$

$-2y=6-8$

$-2y=-2$

$y=\frac{-2}{-2}$

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations $4x+2y=10\hfill (4)$ and 8x = 16

From 8x=16

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

$y=\frac{2}{2}$

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations </h3>

3 0

3 years ago