3x+y=13
x+6y=-7
Multiply the second equation by -3 to cancel out the x's:
3x+y=13
-3x-18y=21
Find the sum of the y's and the numbers:
-17y=34
Divide by -17 on both sides:
y=-2
Plug the y back into one of the equations to find x:
3x -2=13
Add 2 to both sides:
3x=15
Divde each side by 3:
x=5
Plug both numbers back into the equations:
3∙5 -2=13
15-2=13
13=13
5+6∙-2=-7
5+-12=-7
-7=-7
Therefore x =5
there is no linear equations that has no solution every problem has a solution
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
A system of linear equations that has at least one solution is called consistent.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
It's one of the simplest linear equations in 'x' that can be written. Its solution is [ x = -5 ].
there is no linear equations that has no solution every problem has a solution
7
The two equations are linear.
The solution of a system of linear equations is a pair of values that make both of the equations true.
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
A system of linear equations that has at least one solution is called consistent.
It is a system of linear equations which does not have a solution.
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
The coordinates of the point of intersection represents the solution to the linear equations.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
It's one of the simplest linear equations in 'x' that can be written. Its solution is [ x = -5 ].
A system of linear equations determines a line on the xy-plane. The solution to a linear set must satisfy all equations. The solution set is the intersection of x and y, and is either a line, a single point, or the empty set.