Question

Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?

Answer 1

To find the value of X, use substitution method. For the given equations, X = -0.5.

Step-by-step explanation:

To find the value of X, we can use the method of substitution. We have two equations: 2X + 4Y = 13 and 3X + Y = 2. First, isolate Y in the second equation:

3X + Y = 2

Y = 2 - 3X

Now substitute this value of Y into the first equation:

2X + 4(2 - 3X) = 13

2X + 8 - 12X = 13

-10X = 5

X = -0.5

Therefore, the value of X is -0.5.

Answer 2

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2 (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2) = -12x - 4y = -8

+ 2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2