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kap26 [50]
4 years ago
6

What is the solution for this system of equations y = x - 4 Y = -x + 6

Mathematics
1 answer:
lana66690 [7]4 years ago
3 0

Our system of equations is:

y = x - 4

y = -x + 6


We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:


y = -x + 6

x - 4 = -x + 6


To simplify this equation, we first are going to add x to both sides of the equation.


2x - 4 = 6


Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.


2x = 10


Finally, we must divide both sides by 2, to get the variable x completely alone.


x = 5


To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.


y = x - 4

y = 5 - 4

y = 1


Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).


Hope this helps!

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3 years ago
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h( h ( 5) ) ?
strojnjashka [21]
First you would solve for h(5) by plugging in 5 as your x, then solving it.

h(5) = 5^2 + 1
h(5) = 25 + 1
h(5) = 26

Next you would multiply the 26 by the individual h, which is basically h(1).

h(1) = 1^2 + 1
h(1) = 2

Lastly you multiply your h(1) value by the h(5) value to get your answer.

h(1) • h(5) = 26 • 2
h[h(5)] = 52
7 0
4 years ago
Can you always use grouping to factor
Softa [21]

Answer:

No

Step-by-step explanation:

it's not always possible to factor a quadratic expression of this factoring by grouping. The method doesn't work when an expression cannot be factored as (Ax+B)(Cx+D) where A, B, C and D are integrers.

In that case, you should use other methods.

6 0
3 years ago
Read 2 more answers
Which shows the expressions in the order they would appear on a number line from least to greatest?
love history [14]
\frac{17}{9} =1.888888889

\sqrt{6} =2.449489743
\sqrt{30}=5.477225575
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6 0
3 years ago
Read 2 more answers
If 0.9x-1.3=-3.1, what is the value of x-0.8?
Butoxors [25]
−<span>2.8
</span>Okay so "0.9x-1.3=-3.1" x=-2
 
<span><span><span>0.9x</span>−1.3</span>=<span>−3.1

</span></span>add 1.3 to both sides

<span><span><span><span>0.9x</span>−1.3</span>+1.3</span>=<span><span>−3.1</span>+1.3

</span></span><span><span>0.9x</span>=<span>−1.8

</span></span>divide both sides by 0.9

<span><span><span>0.9x/</span>0.9</span>=<span><span>−1.8/</span><span>0.9

</span></span></span>x=<span>−2</span>

So if you plug in -2 into "x-0.8" you get −2.8

<span>=<span><span>−2</span>−0.8

</span></span><span>=<span><span>−2-</span><span>0.8

</span></span></span><span>=<span>−2.8

</span></span>Hope this helps. 
3 0
3 years ago
Read 2 more answers
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