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3 years ago

What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

5 0

The answer is (-2,3)

hope you have a great day ;)

jolli1 [7]3 years ago

4 0

Answer: (x, y) = (-2, 3) is the required solution.

Step-by-step explanation: We are given to find the solution to the following system of linear equations:

$4x+5y=7~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-2y=-12~~~~~~~~~~~~~~~~~~~(ii)$

Multiplying equation (i) by 3 and equation (ii) by 4, we have

$12x+15y=21~~~~~~~~~~~~~~~~~(iii)\\\\12x-8y=-48~~~~~~~~~~~~~~~~(iv)$

Subtracting equation (iv) from equation (iii), we get

$(12x+15y)-(12x-8y)=21-(-48)\\\\\Rightarrow 12x+15y-12x+8y=21+48\\\\\Rightarrow 23y=69\\\\\Rightarrow y=3,$

and from equation (i), we get

$4x+5\times 3=7\\\\\Rightarrow 4x+15=7\\\\\Rightarrow 4x=-8\\\\\Rightarrow x=-2.$

Therefore, the solution to the given system is x = - 2, y = 3.

Thus, (x, y) = (-2, 3) is the required solution.

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2 years ago

Read 2 more answers

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marusya05 [52]

$\text {Hi! Let's Solve this Problem!}$

$\text {Before you find the Mean, Medina and Mode you must put the numbers in order.}$

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$\text {Add:}$ $\text 80+80+83+84+85+87+91+96+97=\fbox {783}}$

$\text {Divide:}$ $\text {783/9=}$

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$\fbox {87}$

$\underline {\text Median}}$

$\text {To find the Median you find the number that's in the middle of the set.}$

$\text {Put your Left Pointer Finger on 83. Put your Right Pointer Finger on 91.}$

$\text {Move your Left Finger to the Right. Move your Right Finger to the Left.}$

$\text {Once your Left Finger makes it to 84 and your Right Finger makes it to 87}$ $\text {it shows that 85 is left in the middle.}$

$\text {The Median Is:}$

$\fbox {85}$

$\underline {\text {Mode}}$

$\text {Finding the Mode means finding the number}$ $\text { that shows the most in the number set given.}$

$\text {Since 80 is the number that is showing more than any other number}$ $\text {this tells us that 80 is our Mode.}$

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$\fbox {80}$

$\text {Best of Luck!}$

4 0

3 years ago

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aivan3 [116]

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3 years ago