Solve the following simultaneous equations by elimination method. a) x+y=7; b) 3x+2y=8; c) x-y=3; d) x+y=4

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To find (x+y) from the given system of equations: 1) 2x − 5y = −6; 2) 4x − 3y = −12 Step 1: Multiply equation (1) by 2 to make the coefficients of x equal. 2(2x − 5y) = 2(−6); 4x − 10y = −12 (3) Step 2: Subtract equation (2) from equation (3) to eliminate x. (4x − 10y) − (4x − 3y) = −12 − (−12); 4x − 10y − 4x + 3y = −12 + 12; −7y = 0; y = 0 Step 3: Substitute the value of y into equation (1) to solve for x. 2x − 5(0) = −6; 2x − 0 = −6; 2x = −6; x = (−6)/(2); x = −3 Step 4: Calculate the value of (x+y). x+y = −3 + 0; x+y = −3 The final answer is −3.

Solve the following simultaneous equations by elimination method. a) x+y=7; b) 3x+2y=8; c) x−y=3; d) x+y=4

Step-by-step solution

Multiply equation (1) by 2 to make the coefficients of $x$ equal.

Subtract equation (2) from equation (3) to eliminate $x$ .

Substitute the value of $y$ into equation (1) to solve for $x$ .

Calculate the value of $(x+y)$ .

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More Mathematics Questions

Solve the following simultaneous equations by elimination method. a) x+y=7; b) 3x+2y=8; c) x−y=3; d) x+y=4

Step-by-step solution

Multiply equation (1) by 2 to make the coefficients of xxx equal.

Subtract equation (2) from equation (3) to eliminate xxx.

Substitute the value of yyy into equation (1) to solve for xxx.

Calculate the value of (x+y)(x+y)(x+y).