Easy -1.2 This is a straightforward two-line intersection problem requiring only substitution of one equation into the other and basic algebraic manipulation. It's simpler than average A-level questions as it involves no problem-solving insight, just routine application of a standard technique with minimal steps.
For subst to eliminate one variable; condone one error; or multn or divn of one or both eqns to get a pair of coeffts the same, condoning one error
\(16x = 14\) or \(16y = 38\)
M1
For collecting terms and simplifying; condoning one error ft; appropriate addn or subtn to eliminate a variable, condoning an error in one term; if subtracting, condone eg \(y\) instead of 0 if no other errors
\((7/8, 19/8)\) oe
A2
or \(x = 14/16\), \(y = 38/16\) oe isw; allow A1 for each coordinate
## Question 5:
| Answer | Marks | Guidance |
|--------|-------|----------|
| $x + 3(5x-2) = 8$ or $y = 5(8-3y) - 2$ | M1 | For subst to eliminate one variable; condone one error; or multn or divn of one or both eqns to get a pair of coeffts the same, condoning one error |
| $16x = 14$ or $16y = 38$ | M1 | For collecting terms and simplifying; condoning one error ft; appropriate addn or subtn to eliminate a variable, condoning an error in one term; if subtracting, condone eg $y$ instead of 0 if no other errors |
| $(7/8, 19/8)$ oe | A2 | or $x = 14/16$, $y = 38/16$ oe isw; allow A1 for each coordinate |