Solve a System of Linear Equations Using Elimination

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👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be equal in all the equations that make up the system, in order to eliminate the variable using subtraction (or addition as the case may be). The coefficients can be made equal by multiplying the entire equation with a number which when multiplied to the coefficient of the variable to be eliminated gives the LCM of the coefficients of the variable to be eliminated in all the equations. Then we solve for the remaining variable(s).

After we have obtained the solution{s} for the remaining variable(s), we substitute the obtained solution into any of the original equations to obtain the solution of the eliminated variable.

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Q3. The supply function is given as:

Ps=14+1.5Qs

Graph this function. What is the value of horizontal intercept?

Comedy-gqdd
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Q2. The demand and supply functions for potatoes are given as

Demand function: Pa=100-0.5Q4

Supply function: Ps = 10 +0.50s

Find the equilibrium price and quantity agebracaly

Comedy-gqdd
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Q4. Given the simultaneous equations

2x+3y=2

5x+2y=6

Solve for x and y algebraically.

Comedy-gqdd
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Plz sir solve this
Q5. A firm has fixed production cost of Rs. 100 and variable production costs of Rs.2 per unit produced. Write down the equation for total cost function.

Comedy-gqdd
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How do you solve 2x +y=7
X-y=-4

hyunisaprincess
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Why did you multiply the equations by 2 and 3

kenisharamirez