solving simultaneous equations word problems worksheet

It is always a good idea to check the values for x and y in the other equation. Which one you choose might depend on the values involved or it might just be the method you like the most.Įlimination Method 4x 2y 10 x y 4 Multiply x y 4 by 2 to give 2x 2y 8 4x 2y 10 2x 2y 8 6x 18 x 3 We then add the two equations which eliminates the 2y (since -2y 2y 0) and leaves 6x 18 which, after dividing both sides by 6 leaves x 3 3 y 4 y 1 We can then replace x in one of the equations with the value 3. Solving Algebraically We can find solutions to simultaneous equations algebraically too.

Notice that the all the coordinates through which the lines pass are solutions to each equation.Īnd the coordinates of the point at which they cross, (3,1)is the solution to the pair of simultaneous equations. Note: this will give 2 sets of coordinates which, since the equation is linear, is enough although it is a god idea to check at least one more point on the line.) For 4x 2y 10 this gives (2.5, 0) and (0,-5) which we plot and then extend a straight line through.įor x y 4 this gives (0,4) and (4,0) which we plot and then extend a straight line through. Solving Graphically For each equation, find coordinates for two points on the graph.Īn easy way of doing this is finding corresponding values when x 0 and when y 0. Worksheets Click below for the Simultaneous Equations Worksheet Generator which provides limitless questions for practice. We provide high-quality math worksheets for more than 10 million teachers and homeschoolers every year. We saw there that speed, or velocity, is distance divided by time. So the question is, What is s so that 20 of s - the salt - will be 15 of 8 gallons. How much water must you add to how much saline solution, in order to dilute it to 8 gallons of 15 solution. The final solution, then, will have 9 gallons of pure alcohol.

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Solving simultaneous equations word problems worksheet