Solve the simultaneous equations below: 2x + y = 5 (i), x + y = 6 (ii)

Here's how to solve the simultaneous equations: Step 1: Write down the given equations. 2x + y = 5 (i); x + y = 6 (ii) Step 2: Subtract equation (ii) from equation (i) to eliminate y. (2x + y) − (x + y) = 5 − 6; 2x − x + y − y = −1; x = −1 Step 3: Substitute the value of x into equation (ii) to find y. x + y = 6; −1 + y = 6; y = 6 + 1; y = 7; The solution is x = −1 and y = 7. x = −1, y = 7

Solve the simultaneous equations below: 2x + y = 5 (i), x + y = 6 (ii)

Here's how to solve the simultaneous equations: Step 1: Write down the given equations. 2x + y = 5 (i); x + y = 6 (ii) Step 2: Subtract equation (ii) from equation (i) to eliminate y. (2x + y) − (x + y) = 5 − 6; 2x − x + y − y = −1; x = −1 Step 3: Substitute the value of x into equation (ii) to find y. x + y = 6; −1 + y = 6; y = 6 + 1; y = 7; The solution is x = −1 and y = 7. x = −1, y = 7

Solved: Solve the simultaneous equations below: 2x + y = 5…

Here's how to solve the simultaneous equations:

Write down the given equations.
$2x + y = 5 \quad \text{(i)}$ $x + y = 6 \quad \text{(ii)}$
Subtract equation (ii) from equation (i) to eliminate $y$ .
$(2x + y) - (x + y) = 5 - 6$ $2x - x + y - y = -1$ $x = -1$
Substitute the value of $x$ into equation (ii) to find $y$ .
$x + y = 6$ $-1 + y = 6$ $y = 6 + 1$ $y = 7$
The solution is $x = -1$ and $y = 7$ .
$x = -1, y = 7$

Solve the simultaneous equations below: 2x + y = 5 (i), x + y = 6 (ii)

Answer

Step-by-step solution

Write down the given equations.

Subtract equation (ii) from equation (i) to eliminate $y$ .

Substitute the value of $x$ into equation (ii) to find $y$ .

Try one yourself

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More Mathematics Questions

Solve the simultaneous equations below: 2x + y = 5 (i), x + y = 6 (ii)

Answer

Step-by-step solution

Write down the given equations.

Subtract equation (ii) from equation (i) to eliminate yyy.

Substitute the value of xxx into equation (ii) to find yyy.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Subtract equation (ii) from equation (i) to eliminate $y$ .

Substitute the value of $x$ into equation (ii) to find $y$ .