What is the apparent solution to the system of equations graphed above?

Mathematics

2 answers:

kvasek [131]3 years ago

7 0

The apparent solution is (1,2) because it moves over 1 on the x axis and 2 up on the y axis.

astraxan [27]3 years ago

5 0

Solution for system of 2 equations of lines is coordinates of point at which those 2 lines intercept. The reason for is that those coordinates fit in both equations. IF you implement coordinates of that point in either of those equations of 2 lines you will see that left side is equal to right side which means that that point belongs to that line.

This method here is graphical method of solving system of equations. Other method is, of course, solving system of equations using math...

Answer is (1,2)

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In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate

crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

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Yakvenalex [24]

Answer: C. 254

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