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Irina-Kira [14]
2 years ago
13

-4x+y+6 -5x-y=21 solve by substitution

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

x = 15/-9

y = -114/9

Step-by-step explanation:

-4x + y + 6

-4x + y = -6

-5x - y = 21

-4x + y = -6

-5x - y = 21

__________+

-9x = 15

x = 15/-9

-4x + y = -6 | ×5 |

-5x - y = 21 | ×4 |

-20x + 5y = -30

-20x - 4y = 84

_____________--

9y = -114

y = -114/9

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Translate this phrase into an algebraic expression. Six more than the product of 9 and Goran's age Use the variable g to represe
aleksandrvk [35]
9g+6 is the expression you’re looking for
6 0
3 years ago
Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She
Naddik [55]

Answer:

\bold{268=225+}l

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = l

To find:

To write an equation to describe the situation and find the value of l for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

T = R + l\\\Rightarrow \bold{268=225+}l

So, the equation is:

\bold{268=225+}l

Now, let us find the value of l from the above equation:

l=268-225\\\Rightarrow \bold{l = 43}

Number of points scored from left handed shots = <em>43</em>

8 0
2 years ago
On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On th
cluponka [151]
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,

<span>1.025(1.025x - 1000) = 23517.60

1.025x - 1000 = 22 944

1.025x = 23 944

x = 23 360

Her original deposit was </span><span>£23 360</span>
5 0
3 years ago
7m - 17 = -24<br> what is m?
aev [14]

Answer:

Move all terms that don't contain

m

to the right side and solve.

Exact Form:

m

=

41

7

Decimal Form:

m

=

5.

¯¯¯¯¯¯¯¯¯¯¯¯

857142

Mixed Number Form:

m

=

5

6

7

Tap to view steps...

3 0
2 years ago
Evaluate -1-3-(-9)+(-5)
babunello [35]

To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:

-1 - 3 - (-9) + (-5)

Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:

-1 - 3 - (-9) - 5

Next, because we know that subtracting a negative number is the same as adding a positive number, we can change - (-9) to + 9, as shown below:

-1 - 3 + 9 - 5

Now, we can subtract the first two terms and begin to evaluate our expression:

-4 + 9 - 5

Next, we can add the first two numbers of the expression:

5 - 5

Now, we can subtract our last two numbers, which gives us our answer:

0

Therefore, your answer is 0.

Hope this helps!

3 0
3 years ago
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