There are three possibilities:The lines intersect at zero points. (The lines are parallel.)The lines intersect at exactly one point. (Most cases.)The lines intersect at infinitely many points. (The two equations represent the same line.)
How to solve a system of equations by elimination.Write both equations in standard form. If any coefficients are fractions, clear them.Make the coefficients of one variable opposites. Decide which variable you will eliminate. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations. ...More items...
To solve the problem with the substitution method, follow these steps:Express the word problem as a system of equations. ...Solve for one of the variables. ...Substitute the solved variable into the other equation. ...Solve for the unknown variable. ...Substitute the value of the unknown variable into one of the original equations to solve for the other unknown variable. ...Check your solution. ...
Solve the system of linear equations using the elimination method:2x+3y=6 and -2x+5y=104x-9y=20 and 16x-7y=802x-8y=10 and 3x+8y=15
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