Solve the equations 4x - 2y = 8, 2x - y = 3.
3 Answers
justaguide | College Teacher | (Level 2) Distinguished Educator
The set of equations 4x - 2y = 8 and 2x - y = 3 has to be solved.
Each of these equations represents a line in the x-y plane. It is possible to write each of them in the slope-intercept form, y = m*x + b.
4x - 2y = 8
=> y = 2x - 4
2x - y = 3
=> y = 2x - 3
For both these equations, the slope is the same. These equations represent parallel lines and lines that are parallel to each other do not intersect. As a result, the given set of equations does not have a solution.
jess1999 | Student, Grade 9 | (Level 1) Valedictorian
4x - 2y = 8
2x - y = 3
To solve these two equations , first multiply everything in the second equation by 2
By multiplying everything in the second equation by 2 , you should get
2x - 2y = 8
4x - 2y = 6 now subtract the two equations
By subtracting the two equations , you should get
-2x = 2 now divide both sides by -2
By dividing both sides by -2 , you should get
x = -1 which is your answer for " x "
Now that we have the answer for " x " , we should plug -1 into one of the equation . Let's plug it into 2x - y = 3
By plugging -1 into the equation we should get
2 ( -1 ) - y = 3 multiply 2 with -1
By multiplying , you should get
-2 - y = 3 now plus 2 on both sides
By adding 2 on both sides , you should get
-y = 5 now divide both sides by -1
By dividing both sides by -1 , you should get
y = -5 which is your answer for " y "
So your answer is , ( -1 , -5 )
atyourservice | Student, Grade 11 | (Level 3) Valedictorian
4x - 2y = 8,
I am going to try to get x alone first:
subtract 4x
-2y = 8 - 4x
divide by -2:
y = -4 + 2x
now plug in this solution as Y in order to solve for x
2x - y = 3
2x - (-4+2x) = 3
2x + 4 - 2x = 3
move like terms to the same side:
2x - 2x = 3-4
0=-1
this problem does not have solutions, you can tell because 0 does not equal 1, there is nothing you can multiply 0 by in order to get 1 .