0
How do you solve the system of equation problem in algebra 8x-10y equals 2 added with 7x-5y equals 13?
Masjete
8x - 10y = 2
7x - 5y = 13
First, we need to eliminate one of the variables. For this, we would like to have them with the same coefficient but different sign. We can do this if we multiply by -2 the second equation.
8x - 10y = 2
-2(7x - 5y) = -2(13)
8x - 10y = 2
-14x +10y = -26
Now, we can add both equations, and solve for x.
(8x - 10y) + (-14x + 10y) = (2) + (-26)
(8x - 14x) +(-10y + 10y) = (2 - 26)
-6x = - 24
-6x/-6 = - 24/-6
x = 4
Substitute 4 for x in the first equation:
8x - 10y = 2
8(4) - 10y = 2
32 - 10y = 2
32 - 32 - 10y = 2 - 32
-10y = -30
-10y/-10 = -30/-10
y = 3
Thus, the solution of the system is (4, 3).
Check:
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Does this system of equations have one solution no solutions or an infinite number of solutions x - 2y equals -6 and x-2y equals 2?
x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.
What is the solution to this system of equation x minus y 3x plus 2y equals 8?
There is only one equation - possibly due to the limitations of the browser. There are not enough equations to derive a solution.
What number system does boolean algebra use?
1 and 0
What is the value of the y variable in the solution to the following system of equations- 3x - 6y equals 3 7x - 5y equals -11?
If "equations-" is intended to be "equations", the answer is y = -2. If the first equation is meant to start with -3x, the answer is y = 0.2
Which classifaction best describes the following system of equations x-y-z equals 0 2x-y plus 2z equals 1 x-y plus z equals -2 is it consistent incosistnet dependent or independent?
1st equation: x-y-z = 0 2nd equation: 2x-y+2z = 1 3rd equation: x-y+z = -2 They appear to be simultaneous equations dependent on each other for the solutions which are: x = 4, y = 5 and z = -1
What is the system of y equals x plus 2?
algebra
What is a word problem using y equals 3x-2 and x-y equals 4 as the system of equations?
It is a simultaneous equation and its solution is x = -1 and y = -5
Which ordered pair is a solution of the linear system?
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
2x-3y equals -2 4x plus y equals 24 use substitution method and work the system of equation?
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
What type of system of linear equation is y equals -3x-1 and 3x plus -1?
A consistent system.
What is the linear system of y equals -x plus 1?
A "system of equations" implies that there is more than one equation.
What is the system of equations of 8y equals 2x plus 14?
There is only one equation, so it's not a system of equations.
How would use solve the system of equation x plus 3y equals 23 by using substitution?
You'd need another equation to sub in
What is the quadratic equation of -x2-4 equals 14 using the complex number system?
The equation is -x2 - 4 = 14 or -x2 = 18 which is the same as x2 = -18. That is the quadratic equation.
Graph of a system of linear equations. Equation 1 is x minus y equals negative 6. Equation 2 is 5x plus 3y equals 24?
-2x=2y-4 2x-y=-5 Answer=(-1,3)
What is the solution of the system for 2x-2y equals -8?
Without a second independent equation, it's not a 'system' yet.
Does this system of equations have one solution no solutions or an infinite number of solutions x - 2y equals -6 and x-2y equals 2?
x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.
