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kozerog [31]
3 years ago
10

Is (2, 3) a solution to this system of equations? 2x + y = 7 17x + 19y = 18 yes no

Mathematics
1 answer:
netineya [11]3 years ago
4 0

I think its not a correct solution of given equations.

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Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
bija089 [108]

Answer:

The answer is (-5,2)

Step-by-step explanation:

So we have 2 equations and we need to solve them by substitution.

1) y = 4x + 22

2) 4x – 6y = –32

Since we already have y isolated in equation #1, we'll use that value in equation #2:

4x - 6(4x + 22) = -32

4x - 24x - 132 = -32

-20x = 100

x = -5

Then we put that value of x in the first equation:

y = 4 (-5) + 22 = -20 + 22 = 2

The answer is then (-5,2)

8 0
3 years ago
Read 2 more answers
3(x - 5) = 6 solve the equation
pshichka [43]

____________________________________________________

Solve for x:

3(x - 5) = 6

Distribute the 3 to the variables inside the parenthesis

3x - 15 = 6

Add 15 to both sides to cancel out the "-15"

3x = 21

Divide both sides by 3

x = 7

____________________________________________________

8 0
3 years ago
Read 2 more answers
Solve for y.<br> In(2y – 1) =
Mrrafil [7]
Answer:

~ 2y-1

Explanation:

~ There’s no like terms for us to collect

~ So we just leave it as it is, we only have to get rid of the bracket and that’s the answer
7 0
4 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=9, and AC=12, find HC.
pickupchik [31]

Answer:

Step-by-step explanation:

It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get

(AC)^{2}=(AB)^{2}+(BC)^{2}

(12)^{2}=(9)^2+(BC)^2

144=81+(BC)^2

(BC)^2=63

BC=\sqrt{63}

Now, From ΔABC and ΔHBC, we have

∠ABC=∠BHC(each90)

∠ACB=∠HCB (Common)

By AA similarity, ΔABC is similar to ΔHBC.

Thus, using the similarity condition, we get

\frac{HC}{BC}=\frac{BC}{AC}

\frac{HC}{\sqrt{63}}=\frac{\sqrt{63}}{12}

HC=\frac{63}{12}=\frac{21}{4}

7 0
3 years ago
What is the value of -3|15 - s| + 2s^3 when s = -3?
Scilla [17]
<span>-3|15 - s| + 2s^3
=</span><span>-3|15 - (-3)| + 2(-3)^3
= </span><span>-3|18| -54 
= -54 - 54
= -108</span>
3 0
3 years ago
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