MATH SOLVE

3 months ago

Q:
# Given the system of equations, what is the x-coordinate of the solution?y = 3 - 1/2x3x + 4y = 1A) 22B) -17/2C) -11

Accepted Solution

A:

Answer: Choice C) -11

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Explanation:

The first equation given is y = 3 - 1/2x

In other words, y is the same as 3 - 1/2x.Β

We can replace y in the second equation with 3 - 1/2x

This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...

3x+4y = 1

3x+4*y = 1

3x+4*( y ) = 1

3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x

3x+4*(3) +4*(-1/2x) = 1

3x+12-2x = 1

3x-2x+12 = 1

x+12 = 1

x+12-12 = 1-12 <<-- subtracting 12 from both sides

x = -11

Which is why the answer is choice C) -11

-----------------------------------

Explanation:

The first equation given is y = 3 - 1/2x

In other words, y is the same as 3 - 1/2x.Β

We can replace y in the second equation with 3 - 1/2x

This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...

3x+4y = 1

3x+4*y = 1

3x+4*( y ) = 1

3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x

3x+4*(3) +4*(-1/2x) = 1

3x+12-2x = 1

3x-2x+12 = 1

x+12 = 1

x+12-12 = 1-12 <<-- subtracting 12 from both sides

x = -11

Which is why the answer is choice C) -11