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5y = x - 10 and 3y +x = 2 There are two ways to solve this: elimination and substitution. First move the systems into something more manageable: 5y - x = -10 and 3y +x = 2 If you write the two on top of one another you notice that if you were to add them the two X's would cancel. +x + -x = 0. This is elimination. writing the new system after the adding yields 8y = -8 therefore Y = -1. you can input Y now and solve for X. 5(-1) = x - 10. therefore X = 5. the second way is substitution. solve one of the systems for one of the variables. 3y + x = 2 therefore x = 2 - 3y. now input that value in for X in the other equation. 5y = (2 - 3y) - 10. solving this yields 8y = -8 once again proving that Y = -1. again substitute that value into either equation to find X

Q: How do you solve these two equations 5y equals x-10 and 3y plus x equals 2?

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You can't solve it - you only have one equation and two unknowns. You need 2 equations to solve this.

The answer is that it cannot be done. To solve a set of equations in k variables (in this case, 2) you need at least two independent equations.

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution. .

Solving for two unknowns (x and y) requires two independent equations.

You cannot solve one linear equation in two variables. You need two equations that are independent.

Related questions

To solve for two unknowns (x and y) it is necessary to have two independent equations.

You can't solve it - you only have one equation and two unknowns. You need 2 equations to solve this.

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution. .

The answer is that it cannot be done. To solve a set of equations in k variables (in this case, 2) you need at least two independent equations.

To solve for two unknown variables (x and y) you require two independent equations,

Solving for two unknowns (x and y) requires two independent equations.

You cannot solve one linear equation in two variables. You need two equations that are independent.

Two independent equations are required to solve for two unknown variables, x and y.

No. Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.

You cannot solve 1 linear equation in 2 unknown variables. You need at least two independent equations.

When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.