By adding each equation we eliminate the variable Y . a)2x + y = 4 b)3x - y = 6 5x =10 The result of adding the system of equations is the expression 5x =10. if we continue and Isolate x : x …

Jul 23, 2025 · Simplifying the Equation Now, we simplify the equation by combining like terms: 2x + 3x + x + 5x + x + y − y − y = 4+ 6 + 10+ 10 + 2 12x − y = 32 Final Result Therefore, the …

An example of a similar problem would be solving the system of equations = and =. By adding these equations, you would get =, leading to = and subsequently substituting back to find =.

Nov 29, 2016 · This answer was loved by 10 people 10 options just set it up like your average addition problem: 2x + y = 4 3x - y = 6 then add one term at a time; work from left to right. 5x = …

The y terms cancel each other out, leaving us with: 5x = 10 Now we can solve for x: x = 510 = 2 Now we know that x = 2. Let's substitute x = 2 back into the first equation to find y: Substituting …

For example, if you have a different set of equations, you can use the same process: add them to eliminate a variable and then solve for the remaining variable.

Dec 6, 2022 · Therefore the result of adding the system of equations 2x + y = 4 , 6=3x-y is 5x =10 Describe equation: Equations are statements in mathematics containing the equals (=) sign …

By adding the given system of equations, we find that 5x = 10, which simplifies to x = 2. Therefore, the correct option is a) x = 2.

Feb 3, 2019 · For instance, if you had a system of equations like x +y = 5 and x − y = 1, you could similarly add them to find 2x = 6, leading to the solution x = 3 and y = 2.

The result of adding the system of equations 2x + y = 4 and 3x - y = 6 is (2, 0).