Could you solve the simultaneous linear equations and find the solutions x and y.

Question

4x+y=12
3x-y=2
Solve these?

Answer 1

To solve these simultaneous linear equations, we can use the method of substitution or elimination.

Given equations:
1) 4x + y = 12
2) 3x - y = 2

Let's add equation 1 and equation 2 together to eliminate the variable y:
4x + y + 3x - y = 12 + 2
7x = 14
x = 2

Now we can substitute the value of x back into equation 1 to find the value of y:
4(2) + y = 12
8 + y = 12
y = 4

Therefore, the solutions to these simultaneous linear equations are:
x = 2
y = 4

Answer 2

What would be the intersection point on the two lines?

Answer 3

The intersection point of the two lines is the point where the lines intersect on the coordinate plane. We have found the solutions to the given simultaneous linear equations as:

x = 2
y = 4

Therefore, the intersection point of the two lines represented by the equations:
4x + y = 12
3x - y = 2

is (2, 4).